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 A316274 Nonzero terms in row sums of the lower triangular part of a square matrix formed by Dirichlet convolution of adjacent columns in the square matrix A191898. 0
 1, -4, -16, -9, -48, -25, -54, -128, 36, -49, -320, 144, -243, 100, 216, -121, -250, -768, 432, -169, 196, 400, 864, 225, -972, -1792, 1152, -289, 972, -686, -361, 784, 1200, 2592, 441, 484, 1000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The motivation for this sequence is expression 1 in Terence Tao's blog post "Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges". LINKS FORMULA a(n) = A298825(A001694(n)). - Mats Granvik, Oct 08 2018 MATHEMATICA Clear[nn, h, a, n, d, b, m]; nn = 500; h = 1; a[n_] := If[n < 1, 0, Sum[d MoebiusMu@d, {d, Divisors[n]}]]; TableForm[Transpose[Table[{n, a[n]}, {n, 1, nn}]]]; b = DeleteCases[   Table[Sum[     Sum[If[Mod[n, k] == 0, a[GCD[n/k, m]]*a[GCD[k, m + h]], 0], {k, 1,        n}], {m, 1, n}], {n, 1, nn}], 0] CROSSREFS Cf. A191898. Sequence in context: A115054 A228561 A049208 * A061093 A067178 A181717 Adjacent sequences:  A316271 A316272 A316273 * A316275 A316276 A316277 KEYWORD sign AUTHOR Mats Granvik, Jun 28 2018 STATUS approved

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Last modified July 22 07:23 EDT 2019. Contains 325216 sequences. (Running on oeis4.)