A165812 Ultraprimorials: a(n) = p#^p#.

1, 4, 46656, 205891132094649000000000000000000000000000000

Offset

0,2

Comments

The n-th Primorial raised to its own power.

Terms from a(4) on have 488, 7770, 134461 and 2913994 digits (A195188) and are too large to be listed explicitly.

Links

Table of n, a(n) for n=0..3.

Eric Weisstein's World of Mathematics, Ultraprimorial

Formula

a(n) = A000312(A002110(n)) . [R. J. Mathar, Sep 29 2009]

Maple

P:=proc(i) local a, n; a:=1; print(1); for n from 1 by 1 to i do a:=a*ithprime(n); print(a^a); od; end: P(10);

Crossrefs

Cf. A002110, A046882

Sequence in context: A275587 A132638 A046882 * A218405 A259492 A074318

Adjacent sequences: A165809 A165810 A165811 * A165813 A165814 A165815

Keyword

easy,nonn

Author

Paolo P. Lava and Giorgio Balzarotti, Sep 28 2009

Extensions

Slightly edited by R. J. Mathar, Sep 29 2009

Status

approved