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A163399
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a(n)=(the binary order of n)^sigma(n)
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1
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0, 1, 16, 128, 729, 531441, 6561, 14348907, 67108864, 68719476736, 16777216, 72057594037927936, 268435456, 281474976710656, 281474976710656, 4611686018427387904, 3814697265625, 1818989403545856475830078125
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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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.
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LINKS
| J. Mulder, Table of n, a(n) for n = 1..350
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FORMULA
| a(n)=A029837(n)^sigma(n).
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EXAMPLE
| a(1)=0^1=0, a(2)=1^3=1, a(3)=2^4=16.
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MATHEMATICA
| Array[Ceiling[Log2[ # ]]^DivisorSigma[1, # ] &, 350] [From Jasper Mulder (jasper.mulder(AT)planet.nl), Jun 03 2010]
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CROSSREFS
| Cf. A000005, A029837.
Sequence in context: A115977 A128692 A132136 * A067488 A120785 A031156
Adjacent sequences: A163396 A163397 A163398 * A163400 A163401 A163402
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KEYWORD
| nonn
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AUTHOR
| Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 26 2009
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EXTENSIONS
| Corrected (243 replaced by 729, 6708864 by 67108864) and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 21 2010
Definition corrected by Jasper Mulder (jasper.mulder(AT)planet.nl), Jun 03 2010
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