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Search: id:A165797
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| A165797 |
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a(n) = n^( sigma(n) - tau(n) ). |
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+0
1
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| 1, 2, 9, 256, 625, 1679616, 117649, 8589934592, 3486784401, 100000000000000, 25937424601, 552061438912436417593344, 23298085122481, 83668255425284801560576, 332525673007965087890625
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OFFSET
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1,2
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COMMENT
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The power of n with exponent given by the difference between its sum of divisors and its count of divisors.
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FORMULA
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a(n) = n^(A000203(n)-A000005(n)) = n^A000203(n) / n^A000005(n) = n^A065608(n) .
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EXAMPLE
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a(4) = 4^(sigma(4)-tau(4)) = 4^(7-3) = 4^4 = 256.
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CROSSREFS
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Sequence in context: A114563 A112311 A067564 this_sequence A011823 A122894 A042675
Adjacent sequences: A165794 A165795 A165796 this_sequence A165798 A165799 A165800
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KEYWORD
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nonn
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AUTHOR
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Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Sep 27 2009
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EXTENSIONS
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Slightly edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 29 2009
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