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%I #12 Feb 27 2022 11:11:20
%S 1,0,1,1,6,11,110,232,3136,10032,141492,561001,9708864,43864471,
%T 886873780,4775054571,106484438048,651701988633,16430255716392,
%U 111498817293652,3124376125290804,23598473924038152,721819990948712614,5975067276022072669,199594173117826648968
%N Expansion of e.g.f. Product_{k>=1} 1/(1 - x^prime(k) / prime(k)!).
%o (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(1/prod(k=1, N, 1-isprime(k)*x^k/k!)))
%Y Cf. A005651, A319112, A334370.
%K nonn
%O 0,5
%A _Seiichi Manyama_, Feb 27 2022
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