-585

Appears in sequences

• Expansion of e.g.f. theta_3^(-1/2).at n=5A015680
• Expansion of q^(-1/24) (m (1-m) / 16)^(1/24) in powers of q, where m = k^2 is the parameter and q is the nome for Jacobian elliptic functions.at n=35A081360
• a(0)=0, a(1)=1, a(n)=((2*n-1)*a(n-1)-5*n*a(n-2))/(n-1).at n=9A102840
• Triangle T, read by rows, equal to the matrix inverse of the triangle defined by [T^-1](n,k) = A075263(n,k)/n!, for n>=k>=0.at n=16A106338
• The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n, 0 < r <= n (see Example).at n=8A110426
• Expansion of 1/(1+9*x*c(x)), where c(x) = g.f. for Catalan numbers A000108.at n=3A127053
• Differentiation of A137286: Triangle of coefficients of differentiation recursive orthogonal Hermite polynomials given in Hochstadt's book : P(x, n) = x*P(x, n - 1) - n*P(x, n - 2).at n=63A136209
• Expansion of chi(-q)^5 / chi(-q^5) in powers of q where chi() is a Ramanujan theta function.at n=11A138521
• Numerator of Bernoulli(n, -5/8).at n=3A158728
• Triangle read by rows : T(n,0) = n+1, T(n,k)=0 if k<0 or if k>n, T(n,k) = k*T(n-1,k) - T(n-1,k-1).at n=31A159881
• Alternating row sums of Sheffer triangle A143496 (4-restricted Stirling2 numbers).at n=6A193684
• Values of n such that L(11) and N(11) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=11A227449
• Alternating sum of 10-gonal (or decagonal) pyramidal numbers.at n=9A269441
• Riordan array (1/(1-9x)^(1/3), x/(9x-1)).at n=18A283150