-423360
domain: Z
Appears in sequences
- Generalized Stirling number triangle of first kind.at n=32A051151
- Coefficient triangle of generalized Laguerre polynomials n!*L(n,2,x) (rising powers of x).at n=29A062139
- 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=28A137497
- 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[6,1+1/t-x].at n=13A137499
- Triangular sequence from coefficients of the umbral calculus expansion of a Golden -Mean Bernoulli function(A001898): p(x,t)=t*phi^(x*t)/(phi^t - 1), where the golden ratio replaces "e".at n=31A137524
- Triangle read by rows, based on the two-variable g.f. exp(x*t)*(x*(1 - 2*exp(x)) - 2*exp(x))/(1 - exp(t)) (the first of two parts).at n=49A138133
- Triangle T(n, k) = n! * StirlingS1(n, k)/binomial(n, k), read by rows.at n=22A142473
- Triangle T(n,k) = A008297(n,k) + A008297(n,n-k+1), read by rows.at n=40A169653
- Triangle read by rows, based on the two-variable g.f. exp(x*t)*(x*(1 - 2*exp(x)) - 2*exp(x))/(1 - exp(t)) (the second of two parts).at n=46A176295
- Triangle read by rows, based on the two-variable g.f. exp(x*t)*(x*(1 - 2*exp(x)) - 2*exp(x))/(1 - exp(t)) (the second of two parts).at n=47A176295
- Determinant of the circulant matrix whose first column corresponds to the divisors of n.at n=25A306598
- Triangle read by rows. The Faulhaber numbers. F(0, k) = 1 and otherwise F(n, k) = (n + 1)!*(-1)^(k+1)*Sum_{j=0..floor((k-1)/2)} C(2*k-2*j, k+1)*C(2*n+1, 2*j+1) * Bernoulli(2*n-2*j) / (k - j).at n=43A354042