A367428 Expansion of e.g.f. 1 / (1 - log(1 + 3*x))^(2/3).
1, 2, 4, 26, 106, 1508, 5860, 221240, -105080, 68914880, -673608800, 40800296480, -879775393760, 40553067851840, -1318206835981760, 60190275180475520, -2497504364769226880, 122572211951306635520, -6006028623693488806400, 324246374847303660704000
Offset: 0
Keywords
Programs
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PARI
a(n) = sum(k=0, n, 3^(n-k)*prod(j=0, k-1, 3*j+2)*stirling(n, k, 1));
Formula
a(n) = Sum_{k=0..n} 3^(n-k) * (Product_{j=0..k-1} (3*j+2)) * Stirling1(n,k).
a(0) = 1; a(n) = Sum_{k=1..n} (-3)^k * (1/3 * k/n - 1) * (k-1)! * binomial(n,k) * a(n-k).