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A091259
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Numerator of sigma_3(n)/sigma(n).
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4
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1, 3, 7, 73, 21, 21, 43, 39, 757, 63, 111, 73, 157, 129, 147, 151, 273, 2271, 343, 219, 301, 333, 507, 273, 15751, 471, 511, 3139, 813, 441, 931, 4161, 777, 819, 903, 55261, 1333, 1029, 1099, 819, 1641, 903, 1807, 8103, 15897, 1521, 2163, 1057, 39331, 47253
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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Sum_{k=1..n} a(k)/A091258(k) ~ c * n^3, where c = (Pi^2/18)*zeta(3)^2 * Product_{p prime} (1 - 2/p^2 - 1/p^3 + 5/p^5 - 3/p^6) = 0.2382648075... . - Amiram Eldar, Nov 21 2022
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MAPLE
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seq(numer(numtheory:-sigma[3](n)/numtheory:-sigma(n)), n=1..100); # Robert Israel, Jan 25 2018
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MATHEMATICA
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Array[Numerator[DivisorSigma[3, #]/DivisorSigma[1, #]]&, 50] (* Harvey P. Dale, Feb 29 2016 *)
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PROG
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(PARI) a(n) = numerator(sigma(n, 3)/sigma(n)); \\ Michel Marcus, Jan 26 2018
(Magma) [Numerator(DivisorSigma(3, n)/DivisorSigma(1, n)): n in [1..50]]; // Vincenzo Librandi, Jan 26 2018
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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