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 A332655 a(n) = Sum_{k=1..n} (k/gcd(n, k))^n. 3
 1, 2, 10, 84, 1301, 15693, 376762, 6168552, 176787631, 3770427352, 142364319626, 3152758480715, 154718778284149, 4340093860950619, 210971170836848270, 7281694486114555088, 435659030617933827137, 14181121059071691716406, 1052864393300587929716722, 41673907052879908244100770 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA a(n) = Sum_{k=1..n} (lcm(n, k)/n)^n. a(n) = Sum_{d|n} Sum_{k=1..d, gcd(k, d) = 1} k^n. MATHEMATICA Table[Sum[(k/GCD[n, k])^n, {k, 1, n}], {n, 1, 20}] Table[Sum[Sum[If[GCD[k, d] == 1, k^n, 0], {k, 1, d}], {d, Divisors[n]}], {n, 1, 20}] PROG (MAGMA) [&+[(k div Gcd(n, k))^n:k in [1..n]]:n in [1..20]]; // Marius A. Burtea, Feb 18 2020 CROSSREFS Cf. A031971, A057661, A226561, A332517, A332621, A332652, A332653, A332654. Sequence in context: A065866 A322406 A302935 * A156466 A304403 A132397 Adjacent sequences:  A332652 A332653 A332654 * A332656 A332657 A332658 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Feb 18 2020 STATUS approved

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Last modified April 11 06:11 EDT 2021. Contains 342886 sequences. (Running on oeis4.)