A371308 - OEIS

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A371308

Expansion of e.g.f. Product_{k>=1} (1 + x^k/k!)^prime(k).

1, 2, 5, 23, 101, 511, 3300, 20499, 147249, 1158047, 9284124, 82250155, 762408746, 7406758725, 75928931645, 815389826454, 9127145085135, 106002459387831, 1287304713397098, 16132127163478581, 209381715443456410, 2814011969429674997, 38957100435462040565

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

"EGJ" (unordered, element, labeled) transform of primes.

LINKS

Table of n, a(n) for n=0..22.

C. G. Bower, Transforms (2)

MATHEMATICA

nmax = 22; CoefficientList[Series[Product[(1 + x^k/k!)^Prime[k], {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!

CROSSREFS

Cf. A000040, A007837, A032315, A032316, A061152.