Sequences

392,541 sequences

Number of i such that d(i) <= d(i-1), where Sum_{i=0..m} d(i)*4^i is the base-4 representation of n.A037811
Number of i such that d(i) <= d(i-1), where Sum_{i=0..m} d(i)*4^i is the base-4 representation of n.
Number of i such that d(i) <= d(i-1), where Sum_{i=0..m} d(i)*5^i is the base-5 representation of n.A037812
Number of i such that d(i) <= d(i-1), where Sum_{i=0..m} d(i)*5^i is the base-5 representation of n.
Number of i such that d(i) <= d(i-1), where Sum_{i=0..m} d(i)*6^i is the base-6 representation of n.A037813
Number of i such that d(i) <= d(i-1), where Sum_{i=0..m} d(i)*6^i is the base-6 representation of n.
Number of i such that d(i) <= d(i-1), where Sum_{i=0..m} d(i)*7^i is the base-7 representation of n.A037814
Number of i such that d(i) <= d(i-1), where Sum_{i=0..m} d(i)*7^i is the base-7 representation of n.
Number of i such that d(i) <= d(i-1), where Sum_{i=0..m} d(i)*8^i is the base-8 representation of n.A037815
Number of i such that d(i) <= d(i-1), where Sum_{i=0..m} d(i)*8^i is the base-8 representation of n.
Number of i such that d(i) <= d(i-1), where Sum_{i=0..m} d(i)*9^i is the base-9 representation of n.A037816
Number of i such that d(i) <= d(i-1), where Sum_{i=0..m} d(i)*9^i is the base-9 representation of n.
Number of i such that d(i) <= d(i-1), where Sum_{i=0..m} d(i)*10^i is the base-10 representation of n.A037817
Number of i such that d(i) <= d(i-1), where Sum_{i=0..m} d(i)*10^i is the base-10 representation of n.
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*3^i is the base-3 representation of n.A037818
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*3^i is the base-3 representation of n.
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*4^i is the base-4 representation of n.A037819
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*4^i is the base-4 representation of n.
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*5^i is the base-5 representation of n.A037820
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*5^i is the base-5 representation of n.
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*6^i is the base-6 representation of n.A037821
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*6^i is the base-6 representation of n.
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*7^i is the base-7 representation of n.A037822
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*7^i is the base-7 representation of n.
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*8^i is the base-8 representation of n.A037823
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*8^i is the base-8 representation of n.
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*9^i is the base-9 representation of n.A037824
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*9^i is the base-9 representation of n.
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*10^i is the base-10 representation of n.A037825
Number of i such that d(i) > d(i-1), where Sum_{i=0..m} d(i)*10^i is the base-10 representation of n.
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*3^i is the base-3 representation of n.A037826
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*3^i is the base-3 representation of n.
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*4^i is the base-4 representation of n.A037827
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*4^i is the base-4 representation of n.
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*5^i is the base-5 representation of n.A037828
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*5^i is the base-5 representation of n.
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*6^i is the base-6 representation of n.A037829
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*6^i is the base-6 representation of n.
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*7^i is the base-7 representation of n.A037830
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*7^i is the base-7 representation of n.
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*8^i is the base-8 representation of n.A037831
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*8^i is the base-8 representation of n.
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*9^i is the base-9 representation of n.A037832
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*9^i is the base-9 representation of n.
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*10^i is the base-10 representation of n.A037833
Number of i such that d(i) >= d(i-1), where Sum_{i=0..m} d(i)*10^i is the base-10 representation of n.
a(n) = Sum_{i=1..m} |d(i) - d(i-1)|, where Sum_{i=0..m} d(i)*2^i is the base-2 representation of n.A037834
a(n) = Sum_{i=1..m} |d(i) - d(i-1)|, where Sum_{i=0..m} d(i)*2^i is the base-2 representation of n.
Sum{|d(i)-d(i-1)|: i=0,1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is base 3 representation of n.A037835
Sum{|d(i)-d(i-1)|: i=0,1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is base 3 representation of n.
a(n) = Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*4^i: i=0,1,...,m} is the base 4 representation of n.A037836
a(n) = Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*4^i: i=0,1,...,m} is the base 4 representation of n.
a(n) = Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*5^i: i=0,1,...,m} is the base 5 representation of n.A037837
a(n) = Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*5^i: i=0,1,...,m} is the base 5 representation of n.
a(n) = Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*6^i: i=0,1,...,m} is the base 6 representation of n.A037838
a(n) = Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*6^i: i=0,1,...,m} is the base 6 representation of n.
a(n) = Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*7^i: i=0,1,...,m} is the base 7 representation of n.A037839
a(n) = Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*7^i: i=0,1,...,m} is the base 7 representation of n.
a(n)=Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*8^i: i=0,1,...,m} is the base 8 representation of n.A037840
a(n)=Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*8^i: i=0,1,...,m} is the base 8 representation of n.
a(n)=Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*9^i: i=0,1,...,m} is the base 9 representation of n.A037841
a(n)=Sum{|d(i)-d(i-1)|: i=1,...,m}, where Sum{d(i)*9^i: i=0,1,...,m} is the base 9 representation of n.
Fibonacci numbers in base 1.A037842
Fibonacci numbers in base 1.
Number of matrices with n columns whose rows do not cover each other; ordered antichains of subsets of an n-set.A037843
Number of matrices with n columns whose rows do not cover each other; ordered antichains of subsets of an n-set.
Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is base 3 representation of n.A037844
Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is base 3 representation of n.
a(n) = Sum_{i=1..m, d(i)<d(i-1)} d(i-1)-d(i), where Sum_{i=0..m} d(i)*4^i is the base 4 representation of n.A037845
a(n) = Sum_{i=1..m, d(i)<d(i-1)} d(i-1)-d(i), where Sum_{i=0..m} d(i)*4^i is the base 4 representation of n.
a(n)=Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*5^i: i=0,1,...,m} is the base 5 representation of n.A037846
a(n)=Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*5^i: i=0,1,...,m} is the base 5 representation of n.
a(n)=Sum{d(i-1)-d(i): d(i)<d(i-1), i=0,1,...,m}, where Sum{d(i)*6^i: i=0,1,...,m} is the base 6 representation of n.A037847
a(n)=Sum{d(i-1)-d(i): d(i)<d(i-1), i=0,1,...,m}, where Sum{d(i)*6^i: i=0,1,...,m} is the base 6 representation of n.
a(n)=Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*7^i: i=0,1,...,m} is the base 7 representation of n.A037848
a(n)=Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*7^i: i=0,1,...,m} is the base 7 representation of n.
a(n) = Sum_{d(i) < d(i-1), i=1..m} (d(i-1) - d(i)), where Sum{d(i)*8^i: i=0,1,...,m} is the base-8 representation of n.A037849
a(n) = Sum_{d(i) < d(i-1), i=1..m} (d(i-1) - d(i)), where Sum{d(i)*8^i: i=0,1,...,m} is the base-8 representation of n.
a(n)=Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*9^i: i=0,1,...,m} is the base 9 representation of n.A037850
a(n)=Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*9^i: i=0,1,...,m} is the base 9 representation of n.
a(n)=Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*10^i: i=0,1,...,m} is the base 10 representation of n.A037851
a(n)=Sum{d(i-1)-d(i): d(i)<d(i-1), i=1,...,m}, where Sum{d(i)*10^i: i=0,1,...,m} is the base 10 representation of n.
Number of normal subgroups of dihedral group with 2n elements.A037852
Number of normal subgroups of dihedral group with 2n elements.
Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is base 3 representation of n.A037853
Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*3^i: i=0,1,...,m} is base 3 representation of n.
Sum_{i=1..m, d(i)>d(i-1)} d(i)-d(i-1), where Sum_{i=0..m} d(i)*4^i is the base 4 representation of n.A037854
Sum_{i=1..m, d(i)>d(i-1)} d(i)-d(i-1), where Sum_{i=0..m} d(i)*4^i is the base 4 representation of n.
Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*5^i: i=0,1,...,m} is base 5 representation of n.A037855
Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*5^i: i=0,1,...,m} is base 5 representation of n.
Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*6^i: i=0,1,...,m} is base 6 representation of n.A037856
Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*6^i: i=0,1,...,m} is base 6 representation of n.
Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*7^i: i=0,1,...,m} is base 7 representation of n.A037857
Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*7^i: i=0,1,...,m} is base 7 representation of n.
Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*8^i: i=0,1,...,m} is base 8 representation of n.A037858
Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*8^i: i=0,1,...,m} is base 8 representation of n.
Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*9^i: i=0,1,...,m} is base 9 representation of n.A037859
Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*9^i: i=0,1,...,m} is base 9 representation of n.
Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*10^i: i=0,1,...,m} is base 10 representation of n.A037860
Sum{d(i)-d(i-1): d(i)>d(i-1), i=1,...,m}, where Sum{d(i)*10^i: i=0,1,...,m} is base 10 representation of n.