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a(n)=(the binary order of n)^sigma(n)
1

%I #5 Mar 30 2012 18:52:34

%S 0,1,16,128,729,531441,6561,14348907,67108864,68719476736,16777216,

%T 72057594037927936,268435456,281474976710656,281474976710656,

%U 4611686018427387904,3814697265625,1818989403545856475830078125

%N a(n)=(the binary order of n)^sigma(n)

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

%H J. Mulder, <a href="/A163399/b163399.txt">Table of n, a(n) for n = 1..350</a>

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

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

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

%Y Cf. A000005, A029837.

%K nonn

%O 1,3

%A _Juri-Stepan Gerasimov_, Jul 26 2009

%E Corrected (243 replaced by 729, 6708864 by 67108864) and extended by _R. J. Mathar_, May 21 2010

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