A255321 Product_{k=1..n} k^(k^3).

1, 256, 1952152956156672, 664283228512699358734362008580999708796213453161234432

Offset

1,2

Comments

The next term a(5) has 142 digits.

Links

Vaclav Kotesovec, Table of n, a(n) for n = 1..7

Formula

a(n) ~ A243263 * n^(n^2*(n+1)^2/4 - 1/120) / exp(n^4/16 - n^2/12).

Mathematica

Table[Product[k^(k^3), {k, 1, n}], {n, 1, 6}]

Prog

(PARI) a(n)=prod(k=2, n, k^k^3) \\ Charles R Greathouse IV, Sep 08 2015

Crossrefs

Cf. A002109, A051675, A255323, A255344, A243263.

Sequence in context: A087930 A245490 A185981 * A228133 A139304 A018859

Adjacent sequences: A255318 A255319 A255320 * A255322 A255323 A255324

Keyword

nonn

Author

Vaclav Kotesovec, Feb 21 2015

Status

approved