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 A352004 Expansion of e.g.f. Product_{k>=1} 1/(1 - x^prime(k))^(1/prime(k)!). 2
 1, 0, 1, 1, 9, 11, 295, 337, 13041, 45550, 1043211, 3359786, 150500053, 440947300, 23238057921, 145733451241, 5097210717873, 29028404123105, 1710073810205317, 8663532297784519, 574604164708374861, 5108822296820280256, 246335435270285805885 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS FORMULA E.g.f.: exp( Sum_{k>=1} A352012(k)*x^k/k! ) where A352012(k) = Sum_{p|k, p prime} (k-1)!/(p-1)!. PROG (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(1/prod(k=1, N, (1-x^k)^(isprime(k)/k!)))) (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=1, N, sumdiv(k, d, isprime(d)*(k-1)!/(d-1)!)*x^k/k!)))) CROSSREFS Cf. A209902, A318913, A352012. Sequence in context: A146366 A146603 A159003 * A196509 A269026 A124606 Adjacent sequences: A352001 A352002 A352003 * A352005 A352006 A352007 KEYWORD nonn AUTHOR Seiichi Manyama, Feb 28 2022 STATUS approved

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Last modified March 26 17:14 EDT 2023. Contains 361551 sequences. (Running on oeis4.)