A367429 Expansion of e.g.f. 1 / (1 - log(1 + 4*x))^(3/4).

1, 3, 9, 75, 465, 7827, 54489, 1985883, 5684385, 1038408483, -8440926039, 1026884514411, -24803157926799, 1735078791616947, -69866656826056839, 4467425545047012219, -239734355869361550015, 15985164846462976491075, -1031464442408734822175415

Offset

0,2

Links

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

Formula

a(n) = Sum_{k=0..n} 4^(n-k) * (Product_{j=0..k-1} (4*j+3)) * Stirling1(n,k).

a(0) = 1; a(n) = Sum_{k=1..n} (-4)^k * (1/4 * k/n - 1) * (k-1)! * binomial(n,k) * a(n-k).

Prog

(PARI) a(n) = sum(k=0, n, 4^(n-k)*prod(j=0, k-1, 4*j+3)*stirling(n, k, 1));

Crossrefs

Cf. A352073, A365600.

Sequence in context: A018576 A027290 A131496 * A132294 A032330 A018604

Adjacent sequences: A367426 A367427 A367428 * A367430 A367431 A367432

Keyword

sign

Author

Seiichi Manyama, Nov 18 2023

Status

approved