Sequences

392,541 sequences

Expansion of 1/((1-2x)(1-4x)(1-5x)(1-9x)).A025961
Expansion of 1/((1-2x)(1-4x)(1-5x)(1-9x)).
Expansion of 1/((1-2x)(1-4x)(1-5x)(1-10x)).A025962
Expansion of 1/((1-2x)(1-4x)(1-5x)(1-10x)).
Expansion of 1/((1-2x)(1-4x)(1-5x)(1-11x)).A025963
Expansion of 1/((1-2x)(1-4x)(1-5x)(1-11x)).
Expansion of 1/((1-2x)(1-4x)(1-5x)(1-12x)).A025964
Expansion of 1/((1-2x)(1-4x)(1-5x)(1-12x)).
Expansion of 1/((1-2x)(1-4x)(1-6x)(1-7x)).A025965
Expansion of 1/((1-2x)(1-4x)(1-6x)(1-7x)).
Expansion of 1/((1-2x)(1-4x)(1-6x)(1-8x)).A025966
Expansion of 1/((1-2x)(1-4x)(1-6x)(1-8x)).
Expansion of 1/((1-2x)(1-4x)(1-6x)(1-9x)).A025967
Expansion of 1/((1-2x)(1-4x)(1-6x)(1-9x)).
Expansion of 1/((1-2x)(1-4x)(1-6x)(1-10x)).A025968
Expansion of 1/((1-2x)(1-4x)(1-6x)(1-10x)).
Expansion of 1/((1-2x)(1-4x)(1-6x)(1-11x)).A025969
Expansion of 1/((1-2x)(1-4x)(1-6x)(1-11x)).
Expansion of 1/((1-2x)(1-4x)(1-6x)(1-12x)).A025970
Expansion of 1/((1-2x)(1-4x)(1-6x)(1-12x)).
Expansion of 1/((1-2x)(1-4x)(1-7x)(1-8x)).A025971
Expansion of 1/((1-2x)(1-4x)(1-7x)(1-8x)).
Expansion of 1/((1-2x)(1-4x)(1-7x)(1-9x)).A025972
Expansion of 1/((1-2x)(1-4x)(1-7x)(1-9x)).
Expansion of 1/((1-2x)(1-4x)(1-7x)(1-10x)).A025973
Expansion of 1/((1-2x)(1-4x)(1-7x)(1-10x)).
Expansion of 1/((1-2x)(1-4x)(1-7x)(1-11x)).A025974
Expansion of 1/((1-2x)(1-4x)(1-7x)(1-11x)).
Expansion of 1/((1-2x)(1-4x)(1-7x)(1-12x)).A025975
Expansion of 1/((1-2x)(1-4x)(1-7x)(1-12x)).
Expansion of 1/((1-2x)(1-4x)(1-8x)(1-9x)).A025976
Expansion of 1/((1-2x)(1-4x)(1-8x)(1-9x)).
Expansion of 1/((1-2x)(1-4x)(1-8x)(1-10x)).A025977
Expansion of 1/((1-2x)(1-4x)(1-8x)(1-10x)).
Expansion of 1/((1-2x)(1-4x)(1-8x)(1-11x)).A025978
Expansion of 1/((1-2x)(1-4x)(1-8x)(1-11x)).
Expansion of 1/((1-2x)(1-4x)(1-8x)(1-12x)).A025979
Expansion of 1/((1-2x)(1-4x)(1-8x)(1-12x)).
Expansion of 1/((1-2x)(1-4x)(1-9x)(1-10x)).A025980
Expansion of 1/((1-2x)(1-4x)(1-9x)(1-10x)).
Expansion of 1/((1-2x)(1-4x)(1-9x)(1-11x)).A025981
Expansion of 1/((1-2x)(1-4x)(1-9x)(1-11x)).
Expansion of 1/((1-2x)(1-4x)(1-9x)(1-12x)).A025982
Expansion of 1/((1-2x)(1-4x)(1-9x)(1-12x)).
Expansion of 1/((1-2x)(1-4x)(1-10x)(1-11x)).A025983
Expansion of 1/((1-2x)(1-4x)(1-10x)(1-11x)).
Expansion of 1/((1-2x)(1-4x)(1-10x)(1-12x)).A025984
Expansion of 1/((1-2x)(1-4x)(1-10x)(1-12x)).
Expansion of 1/((1-2x)(1-4x)(1-11x)(1-12x)).A025985
Expansion of 1/((1-2x)(1-4x)(1-11x)(1-12x)).
Expansion of 1/((1-2x)(1-5x)(1-6x)(1-7x)).A025986
Expansion of 1/((1-2x)(1-5x)(1-6x)(1-7x)).
Expansion of 1/((1-2x)(1-5x)(1-6x)(1-8x)).A025987
Expansion of 1/((1-2x)(1-5x)(1-6x)(1-8x)).
Expansion of 1/((1-2x)(1-5x)(1-6x)(1-9x)).A025988
Expansion of 1/((1-2x)(1-5x)(1-6x)(1-9x)).
Expansion of 1/((1-2x)(1-5x)(1-6x)(1-10x)).A025989
Expansion of 1/((1-2x)(1-5x)(1-6x)(1-10x)).
Expansion of 1/((1-2x)(1-5x)(1-6x)(1-11x)).A025990
Expansion of 1/((1-2x)(1-5x)(1-6x)(1-11x)).
Expansion of 1/((1-2x)(1-5x)(1-6x)(1-12x)).A025991
Expansion of 1/((1-2x)(1-5x)(1-6x)(1-12x)).
Expansion of 1/((1-2*x)*(1-5*x)*(1-7*x)*(1-8*x)).A025992
Expansion of 1/((1-2*x)*(1-5*x)*(1-7*x)*(1-8*x)).
Expansion of 1/((1-2x)(1-5x)(1-7x)(1-9x)).A025993
Expansion of 1/((1-2x)(1-5x)(1-7x)(1-9x)).
Expansion of 1/((1-2x)(1-5x)(1-7x)(1-10x)).A025994
Expansion of 1/((1-2x)(1-5x)(1-7x)(1-10x)).
Expansion of 1/((1-2x)(1-5x)(1-7x)(1-11x)).A025995
Expansion of 1/((1-2x)(1-5x)(1-7x)(1-11x)).
Expansion of 1/((1-2*x)*(1-5*x)*(1-7*x)*(1-12*x)).A025996
Expansion of 1/((1-2*x)*(1-5*x)*(1-7*x)*(1-12*x)).
Expansion of 1/((1-2x)(1-5x)(1-8x)(1-9x)).A025997
Expansion of 1/((1-2x)(1-5x)(1-8x)(1-9x)).
Expansion of 1/((1-2x)(1-5x)(1-8x)(1-10x)).A025998
Expansion of 1/((1-2x)(1-5x)(1-8x)(1-10x)).
Expansion of g.f. 1/((1-2*x) * (1-5*x) * (1-8*x) * (1-11*x)).A025999
Expansion of g.f. 1/((1-2*x) * (1-5*x) * (1-8*x) * (1-11*x)).
a(n) = T(2n, n), where T is the Delannoy triangle (A008288).A026000
a(n) = T(2n, n), where T is the Delannoy triangle (A008288).
a(n) = T(3n,n), where T = Delannoy triangle (A008288).A026001
a(n) = T(3n,n), where T = Delannoy triangle (A008288).
a(n) = T(n,n+2), where T = Delannoy triangle (A008288).A026002
a(n) = T(n,n+2), where T = Delannoy triangle (A008288).
a(n) = T([n/2],[(n+1)/2]), where T = Delannoy triangle (A008288).A026003
a(n) = T([n/2],[(n+1)/2]), where T = Delannoy triangle (A008288).
a(n) = T(3n+1,n), where T = Catalan triangle (A008315).A026004
a(n) = T(3n+1,n), where T = Catalan triangle (A008315).
a(n) = T(4*n,n), where T = Catalan triangle (A008315).A026005
a(n) = T(4*n,n), where T = Catalan triangle (A008315).
Expansion of 1/((1-2x)(1-5x)(1-8x)(1-12x)).A026006
Expansion of 1/((1-2x)(1-5x)(1-8x)(1-12x)).
Expansion of Product_{m>=1} (1 + q^m)^m; number of partitions of n into distinct parts, where n different parts of size n are available.A026007
Expansion of Product_{m>=1} (1 + q^m)^m; number of partitions of n into distinct parts, where n different parts of size n are available.
a(n) = T(n, floor(n/2)), where T = Catalan triangle (A008315).A026008
a(n) = T(n, floor(n/2)), where T = Catalan triangle (A008315).
Triangular array T read by rows: T(n,0) = 1 for n >= 0; T(1,1) = 1; and for n >= 2, T(n,k) = T(n-1,k-1) + T(n-1,k) for k = 1,2,...,[(n+1)/2]; T(n,n/2 + 1) = T(n-1,n/2) if n is even.A026009
Triangular array T read by rows: T(n,0) = 1 for n >= 0; T(1,1) = 1; and for n >= 2, T(n,k) = T(n-1,k-1) + T(n-1,k) for k = 1,2,...,[(n+1)/2]; T(n,n/2 + 1) = T(n-1,n/2) if n is even.
a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| = 1 for i = 1,2,...,n and s(0) = 2. Also a(n) = sum of numbers in row n+1 of array T defined in A026009.A026010
a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| = 1 for i = 1,2,...,n and s(0) = 2. Also a(n) = sum of numbers in row n+1 of array T defined in A026009.