|
%I #23 Mar 24 2024 08:13:15
%S 1,1,4,21,88,645,4386,33061,296808,2674377,26757190,285294801,
%T 3199971336,38104015417,476816609192,6261875218215,85736036949856,
%U 1227373767823617,18255004438680558,281702101344334993,4509097743074878200,74606738071821274641,1275212550939684334384
%N Expansion of e.g.f. Product_{k>=1} (1 + x^k/k!)^(k^2).
%C "EGJ" (unordered, element, labeled) transform of squares.
%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>
%t nmax = 22; CoefficientList[Series[Product[(1 + x^k/k!)^(k^2), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]!
%Y Cf. A000290, A007837, A027998, A032315, A032316.
%K nonn
%O 0,3
%A _Ilya Gutkovskiy_, Mar 24 2024
|
