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Search: id:A017709
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| A017709 |
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Numerator of sum of -23 th powers of divisors of n. |
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+0
2
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| 1, 8388609, 94143178828, 70368752566273, 11920928955078126, 65810859767097521, 27368747340080916344, 590295880727458217985, 8862938119746644274757, 50000005960464481733367, 895430243255237372246532
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OFFSET
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1,2
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COMMENT
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Sum_{d|n} 1/d^k is equal to sigma_k(n)/n^k. So sequences A017665-A017712 also give the numerators and denominators of sigma_k(n)/n^k for k = 1..24. The power sums sigma_k(n) are in sequences A000203 (k=1), A001157-A001160 (k=2,3,4,5), A013954-A013972 for k = 6,7,...,24. - comment from Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 05 2001.
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CROSSREFS
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Cf. A017710.
Adjacent sequences: A017706 A017707 A017708 this_sequence A017710 A017711 A017712
Sequence in context: A022539 A017710 A010811 this_sequence A013971 A036101 A049362
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KEYWORD
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nonn,frac
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AUTHOR
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njas
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