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A368016
Expansion of e.g.f. exp(exp(x) - exp(2*x)).
1
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
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
KEYWORD
sign
AUTHOR
Seiichi Manyama, Dec 08 2023
STATUS
approved