-34560
domain: Z
Appears in sequences
- Expansion of log(1+x/cosh(x)).at n=10A009443
- Cusp form of weight 13/2 associated to the unique cusp form of weight 12 under Shimura correspondence.at n=47A054891
- A triangle of q factorial type based on Stirling first polynomials: t(n,k)=If[m == 0, n!, Product[Sum[(-1)^(i + k)*StirlingS1[k - 1, i]*(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]].at n=26A156588
- Triangle T(n, k) = coefficients of p(n, x), where p(n, x) = (-1)^n*(x+2-n)*(x+2)^(n-1), p(0, x) = 1, and p(1, x) = -1-x, read by rows.at n=57A158285
- Triangle read by rows: T(n,k) = coefficient of x^(n-k) in Product_{m=0..n-1} (x+(-1)^m*m!), 0 <= k <= n.at n=27A260612
- Determinant of the circulant matrix whose first column corresponds to the divisors of n.at n=13A306598
- G.f.: 1 + 1!*x/(1 + 2!*x^2/(1 + 3!*x^3/(1 + 4!*x^4/(1 + 5!*x^5/(1 + ...))))).at n=16A343472
- a(n) = Sum_{k=0..n} k^4 * (-1)^k * 3^(n-k) * binomial(n,k).at n=9A383151