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A255358 Product_{k=0..n} (k^3)!. 7

%I

%S 1,1,40320,439039216240867959122165760000000

%N Product_{k=0..n} (k^3)!.

%C The next term a(4) has 122 digits.

%H Vaclav Kotesovec, <a href="/A255358/b255358.txt">Table of n, a(n) for n = 0..6</a>

%F a(n) ~ c * n^(29/40 + 3*n/2 + 3*n^2/4 + 3*n^3/2 + 3*n^4/4) * (2*Pi)^(n/2) / exp(n*(n+2)*(12 - 6*n + 7*n^2)/16), where c = A255511 = 4.113740552015338123052453340090368136...

%t Table[Product[(k^3)!, {k, 0, n}], {n, 0, 10}]

%Y Cf. A000178, A255322, A255359, A255360.

%Y Cf. A002109, A051675, A255321, A255323, A255344.

%Y Cf. A000142, A255268, A255269, A255511.

%K nonn

%O 0,3

%A _Vaclav Kotesovec_, Feb 21 2015

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Last modified November 18 01:20 EST 2018. Contains 317279 sequences. (Running on oeis4.)