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 A305809 Dirichlet convolution of A003415 (Arithmetic derivative) with itself. 4
 0, 0, 0, 1, 0, 2, 0, 8, 1, 2, 0, 18, 0, 2, 2, 40, 0, 22, 0, 22, 2, 2, 0, 96, 1, 2, 12, 26, 0, 40, 0, 160, 2, 2, 2, 147, 0, 2, 2, 128, 0, 48, 0, 34, 28, 2, 0, 400, 1, 34, 2, 38, 0, 156, 2, 160, 2, 2, 0, 276, 0, 2, 32, 560, 2, 64, 0, 46, 2, 56, 0, 680, 0, 2, 36, 50, 2, 72, 0, 560, 90, 2, 0, 348, 2, 2, 2, 224, 0, 346, 2, 58, 2, 2, 2, 1440, 0, 46, 40, 267, 0, 88 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 LINKS Antti Karttunen, Table of n, a(n) for n = 1..65537 FORMULA a(n) = Sum_{d|n} A003415(n/d)*A003415(d). PROG (PARI) A003415(n) = {my(fac); if(n<1, 0, fac=factor(n); sum(i=1, matsize(fac)[1], n*fac[i, 2]/fac[i, 1]))}; \\ From A003415 A305809(n) = sumdiv(n, d, A003415(n/d)*A003415(d)); CROSSREFS Cf. A003415, A300251, A300252. Cf. A008578 (positions of 0's), A001248 (of 1's), A006881 (of 2's). Sequence in context: A239275 A186745 A109573 * A159810 A199268 A268499 Adjacent sequences:  A305806 A305807 A305808 * A305810 A305811 A305812 KEYWORD nonn AUTHOR Antti Karttunen, Jun 13 2018 STATUS approved

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Last modified April 18 08:37 EDT 2019. Contains 322209 sequences. (Running on oeis4.)