A367426 Expansion of e.g.f. 1 / (1 + log(1 - 4*x))^(1/4).

1, 1, 9, 137, 2929, 80689, 2722745, 108817785, 5028704865, 263891635425, 15505410046185, 1008591244314345, 71960155841683665, 5587928499550175505, 469183592107676627865, 42356983967876631615705, 4091474631070907136246465, 421070307443746576367920065

Offset

0,3

Links

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

Formula

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

a(0) = 1; a(n) = Sum_{k=1..n} 4^k * (1 - 3/4 * k/n) * (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+1)*abs(stirling(n, k, 1)));

Crossrefs

Cf. A352073.

Sequence in context: A081876 A139760 A112702 * A296394 A367246 A322576

Adjacent sequences: A367423 A367424 A367425 * A367427 A367428 A367429

Keyword

nonn

Author

Seiichi Manyama, Nov 18 2023

Status

approved