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A325048 a(n) = Product_{i=0..n, j=0..n} (i!^2 + j!^2). 1
2, 16, 80000, 17272267776000000, 277884245560378426290863196025651200000000, 3337940951837185557810120427617693521487357301121536848574225250643001642844160000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..5.

FORMULA

a(n) ~ c * 2^(n*(n+3)) * Pi^(n*(n+2)) * n^((n+1)*(2*n+1)*(2*n+3)/3) / exp(2*n*(2*n+3)*(4*n+3)/9), where c = 401.488675138779168689540247334821476110398137334270208637438...

MATHEMATICA

Table[Product[i!^2 + j!^2, {i, 0, n}, {j, 0, n}], {n, 0, 7}]

Clear[a]; a[n_] := a[n] = If[n == 0, 2, a[n-1] * Product[k!^2 + n!^2, {k, 0, n}]^2 / (2*n!^2)]; Table[a[n], {n, 0, 7}]

CROSSREFS

Cf. A306729, A324403, A325050.

Sequence in context: A092798 A333540 A258169 * A068916 A093987 A275588

Adjacent sequences:  A325045 A325046 A325047 * A325049 A325050 A325051

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Mar 26 2019

STATUS

approved

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Last modified August 10 08:35 EDT 2020. Contains 336368 sequences. (Running on oeis4.)