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A230295
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a(n) = Sum_{i=1..n} d(8*i+5) - Sum_{i=1..n} d(4*i+3), where d(n) = A000005(n).
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8
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0, 2, 0, 0, 4, 2, 2, 2, 2, 4, 6, 4, 2, 6, 4, 6, 8, 4, 4, 10, 8, 6, 10, 6, 8, 10, 10, 8, 8, 10, 12, 16, 10, 10, 14, 10, 12, 12, 10, 14, 18, 16, 12, 18, 18, 16, 18, 12, 12, 18, 16, 16, 20, 20, 22, 24, 18, 18, 22, 20, 20, 22, 16, 16, 26, 26, 26, 26, 22, 24, 24, 24, 24, 24, 26, 26, 32, 24, 26, 30, 28, 28, 28, 26, 26, 36
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = (log(2)/2) * n + O(n^(1/3)*log(n)). - Amiram Eldar, Apr 12 2024
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MAPLE
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MATHEMATICA
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Accumulate[Table[DivisorSigma[0, 8*n + 5] - DivisorSigma[0, 4*n + 3], {n, 1, 100}]] (* Amiram Eldar, Apr 12 2024 *)
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PROG
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(PARI) vector(100, n, sum(i=1, n, numdiv(8*i+5)) - sum(i=1, n, numdiv(4*i+3))) \\ Michel Marcus, Oct 09 2014
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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