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

Offset: 0

Author

Ilya Gutkovskiy, Mar 24 2024

Keywords

• nonn

Comments

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

Links

• C. G. Bower, Transforms (2)

Crossrefs

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

Programs

Mathematica

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