Sequences
392,541 sequences
- Binomial coefficients: C(n,k), 9 <= k <= n-9, sorted, duplicates removed.A024761
Binomial coefficients: C(n,k), 9 <= k <= n-9, sorted, duplicates removed.
- Binomial coefficients: C(n,k), 10 <= k <= n-10, sorted, duplicates removed.A024762
Binomial coefficients: C(n,k), 10 <= k <= n-10, sorted, duplicates removed.
- Every prefix prime in base 3 (written in base 3).A024763
Every prefix prime in base 3 (written in base 3).
- Every prefix prime in base 4 (written in base 4).A024764
Every prefix prime in base 4 (written in base 4).
- Every prefix prime in base 5 (written in base 5).A024765
Every prefix prime in base 5 (written in base 5).
- Every prefix prime in base 6 (written in base 6).A024766
Every prefix prime in base 6 (written in base 6).
- Every prefix prime in base 7 (written in base 7).A024767
Every prefix prime in base 7 (written in base 7).
- Prefix primes in base 8 (written in base 8).A024768
Prefix primes in base 8 (written in base 8).
- Every prefix prime in base 9 (written in base 9).A024769
Every prefix prime in base 9 (written in base 9).
- Right-truncatable primes: every prefix is prime.A024770
Right-truncatable primes: every prefix is prime.
- Expansion of 1/((1-x)(1-8x)(1-9x)(1-10x)).A024771
Expansion of 1/((1-x)(1-8x)(1-9x)(1-10x)).
- Expansion of 1/((1-x)(1-8x)(1-9x)(1-11x)).A024772
Expansion of 1/((1-x)(1-8x)(1-9x)(1-11x)).
- Every prefix and suffix prime in base 5 (written in base 5).A024773
Every prefix and suffix prime in base 5 (written in base 5).
- Every prefix and suffix prime in base 6 (written in base 6).A024774
Every prefix and suffix prime in base 6 (written in base 6).
- Every prefix and suffix prime in base 7 (written in base 7).A024775
Every prefix and suffix prime in base 7 (written in base 7).
- Every prefix and suffix prime in base 8 (written in base 8).A024776
Every prefix and suffix prime in base 8 (written in base 8).
- Every prefix and suffix prime in base 9 (written in base 9).A024777
Every prefix and suffix prime in base 9 (written in base 9).
- Expansion of 1/((1-x)(1-8x)(1-9x)(1-12x)).A024778
Expansion of 1/((1-x)(1-8x)(1-9x)(1-12x)).
- Every suffix is prime and contains no 0 digits in base 4 (written in base 4).A024779
Every suffix is prime and contains no 0 digits in base 4 (written in base 4).
- Every suffix prime and no 0 digits in base 5 (written in base 5).A024780
Every suffix prime and no 0 digits in base 5 (written in base 5).
- Every suffix prime and no 0 digits in base 6 (written in base 6).A024781
Every suffix prime and no 0 digits in base 6 (written in base 6).
- Every suffix prime and no 0 digits in base 7 (written in base 7).A024782
Every suffix prime and no 0 digits in base 7 (written in base 7).
- Every suffix prime and no 0 digits in base 8 (written in base 8).A024783
Every suffix prime and no 0 digits in base 8 (written in base 8).
- Every suffix prime and no 0 digits in base 9 (written in base 9).A024784
Every suffix prime and no 0 digits in base 9 (written in base 9).
- Left-truncatable primes: every suffix is prime and no digits are zero.A024785
Left-truncatable primes: every suffix is prime and no digits are zero.
- Number of 2's in all partitions of n.A024786
Number of 2's in all partitions of n.
- Number of 3's in all partitions of n.A024787
Number of 3's in all partitions of n.
- Number of 4's in all partitions of n.A024788
Number of 4's in all partitions of n.
- Number of 5's in all partitions of n.A024789
Number of 5's in all partitions of n.
- Number of 6's in all partitions of n.A024790
Number of 6's in all partitions of n.
- Number of 7's in all partitions of n.A024791
Number of 7's in all partitions of n.
- Number of 8's in all partitions of n.A024792
Number of 8's in all partitions of n.
- Number of 9's in all partitions of n.A024793
Number of 9's in all partitions of n.
- Number of 10's in all partitions of n.A024794
Number of 10's in all partitions of n.
- Numbers that are the sum of 3 nonzero squares, including repetitions.A024795
Numbers that are the sum of 3 nonzero squares, including repetitions.
- Numbers expressible in more than one way as i^2 + j^2 + k^2, where 1 <= i <= j <= k.A024796
Numbers expressible in more than one way as i^2 + j^2 + k^2, where 1 <= i <= j <= k.
- Positions of primes in A000408.A024797
Positions of primes in A000408.
- Positions of even numbers in A000408.A024798
Positions of even numbers in A000408.
- Positions of odd numbers in A000408.A024799
Positions of odd numbers in A000408.
- a(n) = position of 3*(n^2) in A000408.A024800
a(n) = position of 3*(n^2) in A000408.
- Position of n^2 + 5 in A000408.A024801
Position of n^2 + 5 in A000408.
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A000408.A024802
a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A000408.
- Numbers that are the sum of 3 distinct nonzero squares, including repetitions.A024803
Numbers that are the sum of 3 distinct nonzero squares, including repetitions.
- Numbers that are the sum of 3 distinct nonzero squares in 2 or more ways.A024804
Numbers that are the sum of 3 distinct nonzero squares in 2 or more ways.
- Positions of primes in A004432.A024805
Positions of primes in A004432.
- Positions of even numbers in A004432.A024806
Positions of even numbers in A004432.
- Positions of odd numbers in A004432.A024807
Positions of odd numbers in A004432.
- a(n) = position of 5 + n^2 in A004432.A024808
a(n) = position of 5 + n^2 in A004432.
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.A024809
a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.
- a(n) = floor( tan(m*Pi/2) ), where m = 1 - 2^(-n).A024810
a(n) = floor( tan(m*Pi/2) ), where m = 1 - 2^(-n).