-825

Appears in sequences

• Expansion of Product_{m>=1} (1 - m*q^m)^5.at n=11A022665
• Triangle of coefficients, read by rows, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = (1+x) - x^2*(1+x)^3 + xy*f(x,y)^3.at n=32A086634
• Triangle of diagonals of symmetric Krawtchouk matrices.at n=69A099037
• Matrix logarithm of A008459 (squared entries of Pascal's triangle), read by rows.at n=16A101980
• Triangle of Hankel transforms of certain binomial sums.at n=46A120257
• Fourth column (m=3) of triangle A128494.at n=38A128498
• Fourth column (m=3) of triangle A128494.at n=39A128498
• a(0) = 121; for n>0, a(n) = a(n-1) - n + 1.at n=44A137517
• Numerators of triangle S(n,k), n>=0, 0<=k<=ceiling((3n+1)/2): S(n,k) is the coefficient of x^k in polynomial s_n(x), used to define continuous and n times differentiable sigmoidal transfer functions.at n=51A144702
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of floor[(i+j)/2], as in A204164.at n=73A204165
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of (i+j), as in A003057.at n=62A204168
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of (i+j-1), as in A002024.at n=62A204169
• a(n) = a(n-1) + a(n-2) - 2^(n-1) with a(0)=a(2)=0, a(1)=-a(3)=1, a(4)=-5.at n=10A227200
• Sum of all parts of all partitions of n into an even number of parts minus the sum of all parts of all partitions of n into an odd number of parts.at n=32A235324
• Expansion of Product_{k>=1} (1-x^(3*k))/(1-x^(2*k)).at n=49A262346
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 326", based on the 5-celled von Neumann neighborhood.at n=41A271262
• Dirichlet inverse of A064664, the inverse permutation of EKG-sequence.at n=65A323411
• Expansion of e.g.f. -log(1 - x) * exp(-3*x).at n=6A346398
• Coefficients T(n,k) of x^n*y^k in the function A(x,y) that satisfies: y = Sum_{n=-oo..+oo} x^(2*n+1) * (1 - x^n)^(n+1) * A(x,y)^n, as a triangle read by rows with k = 0..n for each row index n >= 0.at n=50A357400