A368443 Expansion of e.g.f. exp(-x) / (4 - 3*exp(2*x)).

1, 5, 73, 1517, 42193, 1466645, 61177753, 2977205117, 165583073953, 10360379100965, 720265883283433, 55081115403503117, 4595165623000889713, 415299796681103596085, 40420990463421954662713, 4215173033091627126703517, 468870152072269125977393473

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Formula

a(n) = (-1)^n + 3 * Sum_{k=1..n} 2^k * 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+3*sum(j=1, i, 2^j*binomial(i, j)*v[i-j+1])); v;

Crossrefs

Cf. A367977, A368442, A368454.

Sequence in context: A005259 A195636 A213111 * A062440 A197764 A126748

Adjacent sequences: A368440 A368441 A368442 * A368444 A368445 A368446

Keyword

nonn

Author

Seiichi Manyama, Dec 24 2023

Status

approved