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A163399
a(n)=(the binary order of n)^sigma(n)
1
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.
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
Sequence in context: A115977 A128692 A132136 * A067488 A308310 A120785
KEYWORD
nonn
AUTHOR
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