A371480 Expansion of e.g.f. Product_{k>=1} (1 + x^k/k!)^(k-1).

1, 0, 1, 2, 3, 24, 70, 300, 1365, 10136, 48636, 253560, 2069430, 13716780, 107972579, 695118606, 6155201325, 53001340112, 483401450344, 4129645998960, 36957700537146, 398523920633940, 3954961713704673, 42541112692428746, 430044528651402148

Offset: 0

Author

Ilya Gutkovskiy, Mar 25 2024

Keywords

• nonn

Comments

"EGJ" (unordered, element, labeled) transform of 0,1,2,3,4,...

Links

• C. G. Bower, Transforms (2)

Crossrefs

Cf. A007837, A032315, A032316, A052812.

Programs

Mathematica

nmax = 24; CoefficientList[Series[Product[(1 + x^k/k!)^(k - 1), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!