A255323 Product_{k=1..n} k^(k^4).

1, 65536, 29060398333495723291328487792256607374737408

Offset: 1

Author

Vaclav Kotesovec, Feb 21 2015

Keywords

• nonn

Comments

The next term a(4) has 198 digits.

Links

• Vaclav Kotesovec, Table of n, a(n) for n = 1..5

Crossrefs

Cf. A002109, A051675, A255321, A255344, A013663, A243264.

Programs

Mathematica

Table[Product[k^(k^4), {k, 1, n}], {n, 1, 5}]

PARI

a(n)=prod(k=1,n,k^k^4) \\ Charles R Greathouse IV, Sep 08 2015

Formula

a(n) ~ A243264 * n^(n*(n+1)*(2*n+1)*(3*n^2+3*n-1)/30) / exp(n^5/25 - n^3/12 + 13*n/360), where A243264 = exp(-3*Zeta(5)/(4*Pi^4)).