A357351 E.g.f. satisfies A(x) = log(1 + x * exp(A(x))) * exp(3 * A(x)).
0, 1, 7, 119, 3186, 117204, 5493672, 313159146, 21032534856, 1626654909168, 142381874412000, 13915051276560048, 1501957674420194736, 177456652252068578544, 22779601954164759020184, 3156967397734735846493880, 469790199951668305705905408
Offset: 0
Keywords
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..324
- Index entries for reversions of series
Programs
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PARI
a(n) = sum(k=1, n, (n+3*k)^(k-1)*stirling(n, k, 1));
Formula
a(n) = Sum_{k=1..n} (n+3*k)^(k-1) * Stirling1(n,k).
E.g.f.: Series_Reversion( exp(-x) * (exp(x * exp(-3*x)) - 1) ). - Seiichi Manyama, Sep 10 2024