A255359 a(n) = Product_{k=0..n} (k^4)!.

1, 1, 20922789888000

Offset

0,3

Comments

The next term a(3) has 135 digits.

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..4

Formula

a(n) ~ c * n^(1 + 28*n/15 + 4*n^3/3 + 2*n^4 + 4*n^5/5) * (2*Pi)^(n/2) / exp(19*n/9 + n^4/2 + 9*n^5/25), where c = A255438 = 6.644987918706354049483118... .

Mathematica

Table[Product[(k^4)!, {k, 0, n}], {n, 0, 5}]

Crossrefs

Cf. A000178, A255322, A255358, A255360.

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

Cf. A000142, A255268, A255269, A255438.

Sequence in context: A064589 A086644 A217797 * A011527 A172543 A298820

Adjacent sequences: A255356 A255357 A255358 * A255360 A255361 A255362

Keyword

nonn

Author

Vaclav Kotesovec, Feb 21 2015

Status

approved