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 A334455 a(n) is unique integer k such that sigma(A051281(n)) = tau(A051281(n))^k (where sigma is the sum of divisors (A000203) and tau the number of divisors (A000005)), with a(1) = 1. 6
 1, 2, 3, 5, 7, 4, 5, 4, 6, 13, 5, 8, 17, 6, 9, 19, 10, 10, 7, 11, 11, 8, 8, 12, 12, 13, 9, 9, 7, 6, 15, 31, 8, 16, 11, 17, 12, 18, 18, 19, 13, 13, 13, 8, 10, 10, 11, 11, 22, 9, 12, 24, 10, 25, 17, 17, 13, 13, 14, 14, 14, 19, 12, 12, 15, 15, 61, 21, 16, 32, 13 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Rémy Sigrist, Table of n, a(n) for n = 1..12885 Rémy Sigrist, Colored scatterplot of the first 12885 terms (where the color is function of tau(A051281(n))) Rémy Sigrist, PARI program for A334455 FORMULA a(n) = log(A000203(A051281(n))) / log(A000005(A051281(n))) for n > 1. EXAMPLE For n = 7: - A051281(7) = 889, - sigma(889) = 1024, - tau(889) = 4, - 1024 = 4^5, - so a(7) = 5. PROG (PARI) See Links section. CROSSREFS Cf. A000005, A000203, A051281, A225369. Sequence in context: A126607 A124322 A209037 * A075241 A239694 A097883 Adjacent sequences: A334452 A334453 A334454 * A334456 A334457 A334458 KEYWORD nonn AUTHOR Rémy Sigrist, Nov 10 2020 STATUS approved

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Last modified October 1 14:06 EDT 2023. Contains 365826 sequences. (Running on oeis4.)