-3600

Appears in sequences

• Triangle: p(x) = (t/log(1 + t))^a0*(1 + t)^x; a0=2; weights (n+1)!*n!.at n=19A137381
• Irregular triangle read by rows: coefficients of Laplace transform of a Bernoulli expansion: LaplaceTransform[t*Exp[x*t]/(Exp[t] - 1), t, 1/t] = Zeta[2,1+1/t-x]->shifted to Zeta[4,1+1/t-x].at n=11A137496
• Triangular sequence of coefficients from the 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[3,1+1/t-x].at n=15A137497
• Triangular sequence of coefficients from the expansion of the derivative of the Bernoulli polynomial function: p(x,t) = t*exp(x*t)/(exp(t)-1); q(x,t) = p'(x,t) = dp(x,t)/dt.at n=19A137777
• Irregular triangle from the expansion of p(x,t) = exp(x*t)/(x - t/2 - t/(exp(t) - 1)).at n=34A138169
• Expansion of f(-q)^10 / f(-q^5)^2 in power of q where f() is a Ramanujan theta function.at n=19A243939
• Expansion of psi(x^3)^3 / (psi(x)^2 * psi(x^2)) in powers of x where psi() is a Ramanujan theta function.at n=33A262157
• Alternating sum of centered 25-gonal numbers.at n=23A270693
• Irregular triangle read by rows of normalized Girard-Waring formula (cf. A210258), for m=6 data values.at n=22A288211
• Triangle read by rows, coefficients of polynomials in Pi^2, given by trigonometric double integrals over the unit square.at n=9A336239
• Table read by rows, T(n, k) (for 0 <= k <= n) = (-2)^(n - k)*k!*Stirling2(n, k).at n=26A344913
• Triangle of numbers T(n,k) = (-1)^(n-k)*(n+1)!*Stirling2(n,k)/(k+1).at n=11A356857
• Triangle read by rows. T(n, k) = Sum_{j=0..n-k} binomial(-n, j) * A268438(n - k, j).at n=41A357340
• Dirichlet g.f.: zeta(s-2)^2 * (1 - 2^(3-s)) / zeta(s).at n=35A368929