Sequences

392,541 sequences

a(n) = Sum_{k=1..n-1} ceiling(k^2/n).A014811
a(n) = Sum_{k=1..n-1} ceiling(k^2/n).
Inverse of 803rd cyclotomic polynomial.A014812
Inverse of 803rd cyclotomic polynomial.
a(n) = Sum_{k=0..n} ceiling(k^3/n).A014813
a(n) = Sum_{k=0..n} ceiling(k^3/n).
Inverse of 805th cyclotomic polynomial.A014814
Inverse of 805th cyclotomic polynomial.
Inverse of 806th cyclotomic polynomial.A014815
Inverse of 806th cyclotomic polynomial.
a(n) = Sum_{k=1..n} ceiling(k^4/n).A014816
a(n) = Sum_{k=1..n} ceiling(k^4/n).
a(n) = Sum_{k=1..n} floor(k^2/n).A014817
a(n) = Sum_{k=1..n} floor(k^2/n).
a(n) is the sum over all floor(k^3/n), k=0 to n inclusive.A014818
a(n) is the sum over all floor(k^3/n), k=0 to n inclusive.
a(n) = Sum_{k=1..n} floor(k^4/n).A014819
a(n) = Sum_{k=1..n} floor(k^4/n).
a(n) = (1/3)*(n^2 + 2*n + 3)*(n+1)^2.A014820
a(n) = (1/3)*(n^2 + 2*n + 3)*(n+1)^2.
Inverse of 812th cyclotomic polynomial.A014821
Inverse of 812th cyclotomic polynomial.
Numbers k such that k divides s(k), where s(1)=1, s(j)=10*s(j-1)+j (A014824).A014822
Numbers k such that k divides s(k), where s(1)=1, s(j)=10*s(j-1)+j (A014824).
Inverse of 814th cyclotomic polynomial.A014823
Inverse of 814th cyclotomic polynomial.
a(0) = 0; for n>0, a(n) = 10*a(n-1) + n.A014824
a(0) = 0; for n>0, a(n) = 10*a(n-1) + n.
a(n) = 4*a(n-1) + n with n > 1, a(1)=1.A014825
a(n) = 4*a(n-1) + n with n > 1, a(1)=1.
Inverse of 817th cyclotomic polynomial.A014826
Inverse of 817th cyclotomic polynomial.
a(1)=1, a(n) = 5*a(n-1) + n.A014827
a(1)=1, a(n) = 5*a(n-1) + n.
Inverse of 819th cyclotomic polynomial.A014828
Inverse of 819th cyclotomic polynomial.
a(1)=1, a(n) = 6*a(n-1) + n.A014829
a(1)=1, a(n) = 6*a(n-1) + n.
a(1)=1; for n > 1, a(n) = 7*a(n-1) + n.A014830
a(1)=1; for n > 1, a(n) = 7*a(n-1) + n.
a(1)=1; for n>1, a(n) = 8*a(n-1) + n.A014831
a(1)=1; for n>1, a(n) = 8*a(n-1) + n.
a(1)=1; for n>1, a(n) = 9*a(n-1) + n.A014832
a(1)=1; for n>1, a(n) = 9*a(n-1) + n.
a(n) = 2^n - n*(n+1)/2.A014833
a(n) = 2^n - n*(n+1)/2.
Inverse of 825th cyclotomic polynomial.A014834
Inverse of 825th cyclotomic polynomial.
Inverse of 826th cyclotomic polynomial.A014835
Inverse of 826th cyclotomic polynomial.
Sum modulo n of all the digits of n in every base from 2 to n-1.A014836
Sum modulo n of all the digits of n in every base from 2 to n-1.
Sum of all the digits of n in every base from 2 to n-1.A014837
Sum of all the digits of n in every base from 2 to n-1.
Sum of all the digits of n in every prime base from 2 to n-1.A014838
Sum of all the digits of n in every prime base from 2 to n-1.
Sum of all the digits of n in every prime-power base from 2 to n-1.A014839
Sum of all the digits of n in every prime-power base from 2 to n-1.
Sum of all the digits of n in every base prime to n from 2 to n-1.A014840
Sum of all the digits of n in every base prime to n from 2 to n-1.
Sum modulo the base of all the digits of n in every base from 2 to n-1.A014841
Sum modulo the base of all the digits of n in every base from 2 to n-1.
Difference between A014837 and A014841.A014842
Difference between A014837 and A014841.
Sum modulo n of the sum modulo n of all the digits of n in every base from 2 to n-1.A014843
Sum modulo n of the sum modulo n of all the digits of n in every base from 2 to n-1.
a(n) = 2^n - n*(n-1)/2.A014844
a(n) = 2^n - n*(n-1)/2.
Inverse of 836th cyclotomic polynomial.A014845
Inverse of 836th cyclotomic polynomial.
2^(n-1) - n*(n+1)/2.A014846
2^(n-1) - n*(n+1)/2.
Numbers k such that k-th Catalan number C(2k,k)/(k+1) is divisible by k.A014847
Numbers k such that k-th Catalan number C(2k,k)/(k+1) is divisible by k.
a(n) = n^2 - floor( n/2 ).A014848
a(n) = n^2 - floor( n/2 ).
Inverse of 840th cyclotomic polynomial.A014849
Inverse of 840th cyclotomic polynomial.
Numbers k that divide s(k), where s(1)=1, s(j)=3*s(j-1)+j.A014850
Numbers k that divide s(k), where s(1)=1, s(j)=3*s(j-1)+j.
Numbers k that divide s(k), where s(1)=1, s(j)=4*s(j-1)+j.A014851
Numbers k that divide s(k), where s(1)=1, s(j)=4*s(j-1)+j.
Numbers k that divide s(k), where s(1)=1, s(j)=5*s(j-1)+j.A014852
Numbers k that divide s(k), where s(1)=1, s(j)=5*s(j-1)+j.
Numbers k that divide s(k), where s(1)=1, s(j)=6*s(j-1)+j.A014853
Numbers k that divide s(k), where s(1)=1, s(j)=6*s(j-1)+j.
Numbers k that divide s(k), where s(1)=1, s(j)=7*s(j-1)+j.A014854
Numbers k that divide s(k), where s(1)=1, s(j)=7*s(j-1)+j.
Numbers k that divide s(k), where s(1)=1, s(j)=8*s(j-1)+j.A014855
Numbers k that divide s(k), where s(1)=1, s(j)=8*s(j-1)+j.
Inverse of 847th cyclotomic polynomial.A014856
Inverse of 847th cyclotomic polynomial.
Numbers k that divide s(k), where s(1)=1, s(j)=9*s(j-1)+j.A014857
Numbers k that divide s(k), where s(1)=1, s(j)=9*s(j-1)+j.
Numbers k that divide s(k), where s(1)=1, s(j)=11*s(j-1)+j.A014858
Numbers k that divide s(k), where s(1)=1, s(j)=11*s(j-1)+j.
Numbers k that divide s(k), where s(1)=1, s(j)=12*s(j-1)+j.A014859
Numbers k that divide s(k), where s(1)=1, s(j)=12*s(j-1)+j.
Inverse of 851st cyclotomic polynomial.A014860
Inverse of 851st cyclotomic polynomial.