A368016 Expansion of e.g.f. exp(exp(x) - exp(2*x)).

1, -1, -2, 1, 23, 78, -101, -2837, -16388, -6045, 814731, 8464784, 33033549, -310826557, -7037215394, -63006436867, -89668812445, 6772991607814, 122867563251423, 1051303604754527, -1882817550826828, -228497075285662201, -4133128828646120841, -36299819546242627536

Offset

0,3

Links

Table of n, a(n) for n=0..23.

Formula

a(0) = 1; a(n) = Sum_{k=1..n} (1 - 2^k) * binomial(n-1,k-1) * a(n-k).

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, (1-2^j)*binomial(i-1, j-1)*v[i-j+1])); v;

Crossrefs

Cf. A368017.

Sequence in context: A127607 A255861 A059360 * A279308 A345262 A108778

Adjacent sequences: A368013 A368014 A368015 * A368017 A368018 A368019

Keyword

sign

Author

Seiichi Manyama, Dec 08 2023

Status

approved