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 A294395 E.g.f.: exp(Sum_{n>=1} A050999(n) * x^n). 4

%I

%S 1,1,3,67,289,5121,71731,861043,18134817,303946849,6724342531,

%T 146426154051,3533373668353,93259190078497,2489644674735219,

%U 75193364720030131,2265438714279130561,74716734198386887233,2543592184722884351107,90853513680763023292099

%N E.g.f.: exp(Sum_{n>=1} A050999(n) * x^n).

%H Seiichi Manyama, <a href="/A294395/b294395.txt">Table of n, a(n) for n = 0..422</a>

%F a(0) = 1 and a(n) = (n-1)! * Sum_{k=1..n} k*A050999(k)*a(n-k)/(n-k)! for n > 0.

%o (PARI) N=66; x='x+O('x^N); Vec(serlaplace(exp(sum(k=1, N, sumdiv(k, d, d^2*(d%2))*x^k))))

%Y E.g.f.: exp(Sum_{n>=1} (Sum_{d|n and d is odd} d^k) * x^n): A294392 (k=0), A294394 (k=1), this sequence (k=2).

%Y Cf. A050999, A262811.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Oct 30 2017

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Last modified January 21 14:37 EST 2022. Contains 350479 sequences. (Running on oeis4.)