A255323 - OEIS

A255323

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

1, 65536, 29060398333495723291328487792256607374737408

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OFFSET

1,2

COMMENTS

The next term a(4) has 198 digits.

LINKS

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)).

MATHEMATICA

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

PROG

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

CROSSREFS

KEYWORD

nonn

AUTHOR

STATUS

approved