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

1, 256, 1952152956156672, 664283228512699358734362008580999708796213453161234432

Offset: 1

Author

Vaclav Kotesovec, Feb 21 2015

Keywords

• nonn

Comments

The next term a(5) has 142 digits.

Links

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

Crossrefs

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

Programs

Mathematica

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

PARI

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

Formula

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