A368446 Expansion of e.g.f. exp(-x) / (1 + log(1 - 2*x)).

1, 1, 9, 81, 1025, 16177, 306793, 6791201, 171849153, 4892782241, 154792866953, 5387090968113, 204528939571521, 8412441383512657, 372629008281155177, 17684630326318986881, 895251144144309285505, 48152984520621412552257

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Formula

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

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=(-1)^i+sum(j=1, i, 2^j*(j-1)!*binomial(i, j)*v[i-j+1])); v;

Crossrefs

Cf. A330149, A368447.

Cf. A368286.

Sequence in context: A061433 A069659 A271556 * A110853 A371640 A344402

Adjacent sequences: A368443 A368444 A368445 * A368447 A368448 A368449

Keyword

nonn

Author

Seiichi Manyama, Dec 24 2023

Status

approved