A163399 a(n)=(the binary order of n)^sigma(n)

0, 1, 16, 128, 729, 531441, 6561, 14348907, 67108864, 68719476736, 16777216, 72057594037927936, 268435456, 281474976710656, 281474976710656, 4611686018427387904, 3814697265625, 1818989403545856475830078125

Offset

1,3

Comments

Here sigma(n)=the sum of the divisors of n and the binary order of n: log_2(n) rounded up to next integer.

Links

J. Mulder, Table of n, a(n) for n = 1..350

Formula

a(n)=A029837(n)^sigma(n).

Example

a(1)=0^1=0, a(2)=1^3=1, a(3)=2^4=16.

Mathematica

Array[Ceiling[Log2[ # ]]^DivisorSigma[1, # ] &, 350] [From Jasper Mulder (jasper.mulder(AT)planet.nl), Jun 03 2010]

Crossrefs

Cf. A000005, A029837.

Sequence in context: A115977 A128692 A132136 * A067488 A308310 A120785

Adjacent sequences: A163396 A163397 A163398 * A163400 A163401 A163402

Keyword

nonn

Author

Juri-Stepan Gerasimov, Jul 26 2009

Extensions

Corrected (243 replaced by 729, 6708864 by 67108864) and extended by R. J. Mathar, May 21 2010

Definition corrected by Jasper Mulder (jasper.mulder(AT)planet.nl), Jun 03 2010

Status

approved