A371482 Expansion of e.g.f. Product_{k>=1} (1 + x^k/k!)^(2^k).

1, 2, 6, 32, 164, 1032, 7728, 59376, 522600, 4946768, 49680656, 540031296, 6195155744, 75183755584, 961596510272, 12909563309952, 181305865742240, 2657525771641664, 40594443765953472, 643987597483557888, 10601112599585001984, 180727870834447607808, 3185418524574895953152

Offset

0,2

Comments

"EGJ" (unordered, element, labeled) transform of powers of 2.

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!)^(2^k), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!

Crossrefs

Cf. A000079, A007837, A032315, A032316, A102866, A199163.

Sequence in context: A121071 A092199 A108485 * A018940 A271958 A354662

Adjacent sequences: A371479 A371480 A371481 * A371483 A371484 A371485

Keyword

nonn

Author

Ilya Gutkovskiy, Mar 25 2024

Status

approved