-974
domain: Z
Appears in sequences
- Numerators of continued fraction for left factorial.at n=13A056919
- 1 + Sum_{n>=1} a_n x^n = 1/Product_{n>=1} (1+x^n)^prime(n).at n=21A061151
- Numerator of Hermite(n, 11/27).at n=2A160139
- Triangle read by rows: T(n, m, q) = (1-q^n)*Eulerian(n+1, m) - (1-q^n) + 1, with q = 2.at n=12A174728
- Expansion of f(-x^6)^3 / (f(x)^2 * psi(x)) in powers of x where psi(), f() are Ramanujan theta functions.at n=9A262156
- G.f.: 1/(1 + x/(1 + x^3/(1 + x^6/(1 + x^10/(1 + x^15/(1 + ... + x^(k*(k+1)/2)/(1 + ...))))))), a continued fraction.at n=21A285484
- G.f. A(x) satisfies: A(x) = Sum_{-oo..+oo} (x - A(x)^n)^(n+1).at n=7A293385
- G.f. A(x) satisfies: 1 + x = Sum_{n>=0} x^n * (1 - x*A(x)^n)^n.at n=7A300044
- G.f. satisfies: A(x) = (1 - x) * Product_{k>0} A(x^(2*k)) / Product_{k>1} A(x^(2*k-1)).at n=57A321326
- Expansion of Product_{k>=1} (1 - x^k * (k + x)).at n=23A336977
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A385014.at n=52A385018