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A372150 a(n) = Product_{k=1..n} k!^(k^2). 0
1, 1, 16, 161243136, 1953714516870533385423459188736, 18637697331204402735774894643901575833450808531469488619520000000000000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) ~ (2*Pi)^(n^3/6 + n^2/4 + n/12) * n^(n^4/4 + 2*n^3/3 + n^2/2 + n/12 - 1/90) / (A^(1/6) * exp(5*n^4/16 + 5*n^3/9 + n^2/8 - n/12 - zeta(3)/(8*Pi^2) - zeta'(-3)/3 - 13/720)), where A is the Glaisher-Kinkelin constant A074962, zeta(3) = A002117, zeta'(-3) = A259068.
MATHEMATICA
Table[Product[k!^(k^2), {k, 1, n}], {n, 0, 6}]
CROSSREFS
Sequence in context: A369821 A013878 A058418 * A291908 A059933 A002488
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Apr 20 2024
STATUS
approved

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Last modified July 24 22:37 EDT 2024. Contains 374585 sequences. (Running on oeis4.)