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 A356335 Expansion of e.g.f. ( Product_{k>0} 1/(1-x^k) )^(1/(1-x)). 5
 1, 1, 6, 39, 332, 3290, 38994, 517986, 7762880, 128029464, 2311675560, 45188359920, 952047539112, 21452758881528, 515073388373712, 13114579450948920, 352881761400606720, 10000259978380933440, 297654582665846499264, 9280441162956638320704 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..19. FORMULA a(0) = 1; a(n) = Sum_{k=1..n} A356010(k) * binomial(n-1,k-1) * a(n-k). PROG (PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace((1/prod(k=1, N, 1-x^k))^(1/(1-x)))) (PARI) a356010(n) = n!*sum(k=1, n, sigma(k)/k); a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, a356010(j)*binomial(i-1, j-1)*v[i-j+1])); v; CROSSREFS Cf. A000041, A000203, A356010, A356336, A356337. Sequence in context: A058191 A113347 A265953 * A246571 A031972 A356439 Adjacent sequences: A356332 A356333 A356334 * A356336 A356337 A356338 KEYWORD nonn AUTHOR Seiichi Manyama, Aug 04 2022 STATUS approved

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Last modified July 14 14:54 EDT 2024. Contains 374318 sequences. (Running on oeis4.)