-1800

Appears in sequences

• Coefficients of Jacobi cusp form of index 1 and weight 10.at n=20A003784
• Expansion of tanh(x)*tan(sin(x)).at n=4A009835
• Signed double Pochhammer triangle: expansion of x(x-2)(x-4)..(x-2n+2).at n=17A039683
• Triangle T(n,k) = k! * Stirling1(n,k), 1<=k<=n.at n=19A048594
• Triangle giving coefficients of (n+1)!*B_n(x), where B_n(x) is a Bernoulli polynomial. Rising powers of x.at n=19A048998
• Triangle giving coefficients of (n+1)!*B_n(x), where B_n(x) is a Bernoulli polynomial, ordered by falling powers of x.at n=16A048999
• Exponential reciprocal of A055924.at n=43A055925
• Coefficient triangle of generalized Laguerre polynomials (a=1).at n=16A066667
• G.f.: Product_{i>=1} (1 - 2*(-x)^i)/(1 - (-x)^i)^2.at n=29A104510
• Infinite square array read by antidiagonals: T(m, 0) = 1, T(m, 1) = m; T(m, k) = (m - k + 1) T(m+1, k-1) - (k-1) (m+1) T(m+2, k-2).at n=27A105937
• Define an array by d(m, 0) = 1, d(m, 1) = m; d(m, k) = (m - k + 1) d(m+1, k-1) - (k-1) (m+1) d(m+2, k-2). Sequence gives d(0,2n).at n=3A126934
• Coefficients of list partition transform: reciprocal of an exponential generating function (e.g.f.).at n=28A133314
• Triangle read by rows: row n gives coefficients of increasing powers of x in the polynomial (-1)^n*p(n), where p(n) is defined as follows. Let f(n) = n*(n+1)/2, g(n) = f(n)+1; then p(-1) = 0, p(0) = 1 and for n >= 1, p(n) = (x - f(n))*p(n - 1) - g(n - 1)^2*p(n - 2).at n=33A135049
• a(n) = 13 + 12*n - n^2.at n=49A136316
• Coefficients of generalized factorial polynomials p(x, n) = (x/a - (n-1))*p(x, n-1) with p(x, 0) = 1, p(x, 1) = x/a and a = 1/2. Triangle read by rows, for n >= 0 and 0 <= k <= n.at n=24A137312
• A triangular sequence of coefficients from a Laplace Transform of a Bernoulli expansion function: LaplaceTransform[t*Exp[x*t]/(Exp[t] - 1), t, 1/t] = Zeta[2,1+1/t-x]->shifted to Zeta[5,1+1/t-x].at n=8A137498
• Expansion of (8 / 7) * (1 - eta(q)^7 / eta(q^7)) - 7 * (eta(q) * eta(q^7))^3 in powers of q.at n=37A138810
• Triangle T(n, k) = n! * StirlingS1(n, k)/binomial(n, k), read by rows.at n=19A142473
• Numerator of Hermite(n, 6/7).at n=3A159013
• Expansion of exp(x*Bernoulli(x)) = 1+sum(n>0, a(n)/(n!)^2*x^n).at n=6A191564