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A165797
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a(n) = n^( sigma(n) - tau(n) ).
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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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COMMENTS
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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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LINKS
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FORMULA
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a(p) = p^(p-1) for p = prime.
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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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MATHEMATICA
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Table[n^[ DivisorSigma[1, n] - DivisorSigma[0, n]], {n, 50}]
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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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STATUS
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approved
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