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A371484
Expansion of e.g.f. Product_{k>=1} (1 + x^k/k!)^(2^(k-1)).
0
1, 1, 2, 10, 30, 166, 968, 5440, 39112, 289096, 2330832, 19947280, 185603520, 1807683008, 18554569504, 203803276960, 2315043684112, 27640348895248, 344414508782624, 4483617418231456, 60518677509951520, 846362835642437536, 12289340439560875264
OFFSET
0,3
COMMENTS
"EGJ" (unordered, element, labeled) transform of A011782.
MATHEMATICA
nmax = 22; CoefficientList[Series[Product[(1 + x^k/k!)^(2^(k - 1)), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Mar 25 2024
STATUS
approved