A367490 Expansion of e.g.f. -x * log(4 - 3*exp(x)).

0, 0, 6, 36, 336, 4380, 73080, 1481844, 35320992, 966875724, 29874822600, 1028081942052, 38985534525168, 1614899447153148, 72543518616692760, 3512306387815898580, 182320857226312198464, 10100520471366488756652, 594804877105749056467560

Offset

0,3

Links

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

Formula

a(n) = n * Sum_{k=1..n-1} 3^k * (k-1)! * Stirling2(n-1,k).

Prog

(PARI) a(n) = n*sum(k=1, n-1, 3^k*(k-1)!*stirling(n-1, k, 2));

Crossrefs

Cf. A052862, A367489.

Cf. A032183, A201354.

Sequence in context: A098559 A129584 A052559 * A053335 A222925 A370752

Adjacent sequences: A367487 A367488 A367489 * A367491 A367492 A367493

Keyword

nonn,easy

Author

Seiichi Manyama, Nov 19 2023

Status

approved