A368284 Expansion of e.g.f. exp(-2*x) / (1 + log(1 - x)).

1, -1, 3, 0, 32, 182, 1882, 20500, 260136, 3701968, 58565360, 1019110848, 19346296752, 397867297136, 8811800026928, 209100451072672, 5292665533921024, 142338738348972672, 4053176346277660288, 121828547313861426176, 3854597854165079424768

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Formula

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

Crossrefs

Cf. A007840, A291979, A330149, A368283.

Sequence in context: A007415 A145222 A058833 * A266168 A276913 A012775

Adjacent sequences: A368281 A368282 A368283 * A368285 A368286 A368287

Keyword

sign

Author

Seiichi Manyama, Dec 19 2023

Status

approved