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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
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OFFSET
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1,3
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COMMENTS
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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
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FORMULA
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EXAMPLE
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a(1)=0^1=0, a(2)=1^3=1, a(3)=2^4=16.
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MATHEMATICA
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Array[Ceiling[Log2[ # ]]^DivisorSigma[1, # ] &, 350] [From Jasper Mulder (jasper.mulder(AT)planet.nl), Jun 03 2010]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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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
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STATUS
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approved
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