A383172 Expansion of e.g.f. -log(1 + log(1 - 2*x)/2)^3 / 6.

0, 0, 0, 1, 18, 295, 5115, 96838, 2012724, 45825148, 1137703140, 30643915984, 891001127016, 27835772321344, 930387252759328, 33141746095999552, 1253756533365348992, 50210676392866266880, 2122613151692627299584, 94470824166941637093376

Offset

0,5

Links

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

Formula

a(n) = Sum_{k=3..n} 2^(n-k) * |Stirling1(n,k) * Stirling1(k,3)|.

Prog

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

Crossrefs

Cf. A383170, A383171.

Cf. A341588, A383164.

Sequence in context: A048447 A167713 A219670 * A166927 A113367 A228604

Adjacent sequences: A383169 A383170 A383171 * A383173 A383174 A383175

Keyword

nonn

Author

Seiichi Manyama, Apr 18 2025

Status

approved