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A255323 Product_{k=1..n} k^(k^4). 14
1, 65536, 29060398333495723291328487792256607374737408 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The next term a(4) has 198 digits.

LINKS

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

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

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

Sequence in context: A017576 A013881 A027747 * A051332 A123388 A070816

Adjacent sequences:  A255320 A255321 A255322 * A255324 A255325 A255326

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Feb 21 2015

STATUS

approved

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Last modified December 18 05:48 EST 2018. Contains 318215 sequences. (Running on oeis4.)