A367923 Expansion of e.g.f. 1/(1 - x + 3*log(1 - x)).

1, 4, 35, 462, 8136, 179112, 4731786, 145838844, 5137045848, 203566459392, 8963064065088, 434109674396736, 22936702911358608, 1312878755037640320, 80928769156102447920, 5344960170283958863008, 376543135663291116638208, 28184733661095459402610176

Offset

0,2

Links

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

Formula

a(0) = 1; a(n) = n * a(n-1) + 3 * Sum_{k=1..n} (k-1)! * binomial(n,k) * a(n-k).

Prog

(PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=i*v[i]+3*sum(j=1, i, (j-1)!*binomial(i, j)*v[i-j+1])); v;

Crossrefs

Cf. A052820, A367922.

Cf. A367846.

Sequence in context: A132694 A270917 A367925 * A242795 A349527 A287886

Adjacent sequences: A367920 A367921 A367922 * A367924 A367925 A367926

Keyword

nonn

Author

Seiichi Manyama, Dec 05 2023

Status

approved