Sequences
392,541 sequences
- Squares and cubes.A002760
Squares and cubes.
- Number of ways of getting a royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or nothing in 5-card poker.A002761
Number of ways of getting a royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or nothing in 5-card poker.
- Number of bipartite partitions.A002762
Number of bipartite partitions.
- Number of bipartite partitions.A002763
Number of bipartite partitions.
- Number of bipartite partitions.A002764
Number of bipartite partitions.
- Number of bipartite partitions.A002765
Number of bipartite partitions.
- Number of bipartite partitions.A002766
Number of bipartite partitions.
- Number of bipartite partitions.A002767
Number of bipartite partitions.
- Number of bipartite partitions.A002768
Number of bipartite partitions.
- Discriminants of totally real quartic fields (see comments).A002769
Discriminants of totally real quartic fields (see comments).
- Integers connected with coefficients in expansion of Weierstrass P-function.A002770
Integers connected with coefficients in expansion of Weierstrass P-function.
- Number of terms in a skew determinant: a(n) = (A000085(n) + A081919(n))/2.A002771
Number of terms in a skew determinant: a(n) = (A000085(n) + A081919(n))/2.
- Number of terms in a bordered skew determinant.A002772
Number of terms in a bordered skew determinant.
- Number of nonisomorphic simple matroids (or geometries) with n points.A002773
Number of nonisomorphic simple matroids (or geometries) with n points.
- Number of bipartite partitions of n white objects and n black ones.A002774
Number of bipartite partitions of n white objects and n black ones.
- a(n) = n^2 * n!.A002775
a(n) = n^2 * n!.
- Terms in certain determinants.A002776
Terms in certain determinants.
- Restricted permutations.A002777
Restricted permutations.
- Numbers whose square is a palindrome.A002778
Numbers whose square is a palindrome.
- Palindromic squares.A002779
Palindromic squares.
- Numbers whose cube is a palindrome.A002780
Numbers whose cube is a palindrome.
- Palindromic cubes.A002781
Palindromic cubes.
- Concatenate the natural numbers, then partition into minimal strings so that each term divides the next.A002782
Concatenate the natural numbers, then partition into minimal strings so that each term divides the next.
- a(n) = 2*(3^n - 2^n) + 1.A002783
a(n) = 2*(3^n - 2^n) + 1.
- A problem in parity.A002784
A problem in parity.
- Number of self-complementary oriented graphs with n nodes.A002785
Number of self-complementary oriented graphs with n nodes.
- Semigroups of order n with 1 idempotent, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).A002786
Semigroups of order n with 1 idempotent, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).
- Number of semigroups of order n with 2 idempotents, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).A002787
Number of semigroups of order n with 2 idempotents, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).
- Idempotent semigroups of order n, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).A002788
Idempotent semigroups of order n, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator).
- Number of integer points in a certain quadrilateral scaled by a factor of n.A002789
Number of integer points in a certain quadrilateral scaled by a factor of n.
- Denominators of Cauchy numbers of second type (= Bernoulli numbers B_n^{(n)}).A002790
Denominators of Cauchy numbers of second type (= Bernoulli numbers B_n^{(n)}).
- a(n) = Sum_{d|n, d <= 4} d^2 + 4*Sum_{d|n, d>4} d.A002791
a(n) = Sum_{d|n, d <= 4} d^2 + 4*Sum_{d|n, d>4} d.
- Erroneous version of A108919.A002792
Erroneous version of A108919.
- a(n) = 2n*a(n-1) - (n-1)^2*a(n-2).A002793
a(n) = 2n*a(n-1) - (n-1)^2*a(n-2).
- Numerators of convergents to Lehmer's constant.A002794
Numerators of convergents to Lehmer's constant.
- Denominators of convergents to Lehmer's constant.A002795
Denominators of convergents to Lehmer's constant.
- Numbers that are divisible by each nonzero digit.A002796
Numbers that are divisible by each nonzero digit.
- Number of solutions to a linear inequality.A002797
Number of solutions to a linear inequality.
- a(n) = a(n-1) + a(n-2) - a(n-3).A002798
a(n) = a(n-1) + a(n-2) - a(n-3).
- Number of 4-line partitions of n (i.e., planar partitions of n with at most 4 lines).A002799
Number of 4-line partitions of n (i.e., planar partitions of n with at most 4 lines).
- Erroneous version of A001157.A002800
Erroneous version of A001157.
- a(n) = (2*n-1)*a(n-1) - (n-1)*a(n-2) with a(0) = a(1) = 1.A002801
a(n) = (2*n-1)*a(n-1) - (n-1)*a(n-2) with a(0) = a(1) = 1.
- a(n) = (2*n+3)!/(6*n!*(n+1)!).A002802
a(n) = (2*n+3)!/(6*n!*(n+1)!).
- a(n) = (2n+4)!/(4!*n!*(n+1)!).A002803
a(n) = (2n+4)!/(4!*n!*(n+1)!).
- (Presumed) solution to Waring's problem: g(n) = 2^n + floor((3/2)^n) - 2.A002804
(Presumed) solution to Waring's problem: g(n) = 2^n + floor((3/2)^n) - 2.
- a(n) = denominator of harmonic number H(n) = Sum_{i=1..n} 1/i.A002805
a(n) = denominator of harmonic number H(n) = Sum_{i=1..n} 1/i.
- Number of ways of getting nothing, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, or a royal flush in 5-card poker.A002806
Number of ways of getting nothing, a pair, 2 pair, 3 of a kind, other straight, other flush, full house, 4 of a kind, other straight flush, or a royal flush in 5-card poker.
- a(n) = Sum_{k=3..n} (k-1)!*C(n,k)/2.A002807
a(n) = Sum_{k=3..n} (k-1)!*C(n,k)/2.
- The composite numbers: numbers n of the form x*y for x > 1 and y > 1.A002808
The composite numbers: numbers n of the form x*y for x > 1 and y > 1.
- Increasing values of A000793 (largest order of permutation of n elements).A002809
Increasing values of A000793 (largest order of permutation of n elements).