A368287 Expansion of e.g.f. exp(-2*x) / (1 + 2*log(1 - x)).

1, 0, 6, 32, 356, 4456, 68096, 1211136, 24625408, 563266240, 14315378880, 400206928128, 12205482237824, 403262088466688, 14348434923733504, 546996936260529152, 22243031618999642112, 961019064912965103616, 43963636798214215278592

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Formula

a(n) = (-2)^n + 2 * Sum_{k=1..n} (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]=(-2)^i+2*sum(j=1, i, (j-1)!*binomial(i, j)*v[i-j+1])); v;

Crossrefs

Cf. A088500, A343707, A368285, A368286.

Sequence in context: A350485 A350109 A185386 * A276351 A135538 A296314

Adjacent sequences: A368284 A368285 A368286 * A368288 A368289 A368290

Keyword

nonn

Author

Seiichi Manyama, Dec 19 2023

Status

approved