A367489 Expansion of e.g.f. -x * log(3 - 2*exp(x)).

0, 0, 4, 18, 120, 1110, 13140, 189042, 3197040, 62093358, 1361253900, 33236925546, 894243758760, 26281928034726, 837663638344260, 28775491618091490, 1059805146165293280, 41657455054069680414, 1740535210734651716220, 77029901631623181859674

Offset

0,3

Links

Table of n, a(n) for n=0..19.

Formula

a(n) = n * Sum_{k=1..n-1} 2^k * (k-1)! * Stirling2(n-1,k).

Prog

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

Crossrefs

Cf. A052862, A367490.

Cf. A027882, A201339.

Sequence in context: A053529 A005442 A306881 * A084661 A112294 A346680

Adjacent sequences: A367486 A367487 A367488 * A367490 A367491 A367492

Keyword

nonn,easy

Author

Seiichi Manyama, Nov 19 2023

Status

approved