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 A349467 Numbers k such that A349410(k) = 1. 1
 1, 2, 3, 5, 6, 7, 8, 9, 11, 13, 17, 19, 21, 23, 25, 28, 29, 31, 32, 33, 36, 37, 39, 40, 41, 43, 47, 48, 49, 51, 53, 57, 59, 61, 67, 69, 70, 71, 73, 75, 79, 81, 83, 87, 89, 90, 93, 96, 97, 98, 101, 103, 107, 109, 110, 111, 113, 120, 121, 123, 126, 127, 128, 129, 130 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Does this sequence have density 1/3? This sequence has infinitely many terms because every prime number is a term. The numbers of terms not exceeding 10^k for k = 1, 2, ... are 8, 50, 396, 3566, 33943, 332042, 3297317, 32983277, ... Apparently this sequence has an asymptotic density of about 0.33. - Amiram Eldar, Nov 18 2021 LINKS MATHEMATICA a[n_] := Module[{s = NestWhileList[n*DivisorSigma[0, #] &, 1, UnsameQ, All]}, Differences[Position[s, s[[-1]]]][[1, 1]]]; Select[Range[130], a[#] == 1 &] (* Amiram Eldar, Nov 18 2021 *) CROSSREFS Cf. A349410. Sequence in context: A346723 A346722 A007989 * A182942 A349095 A069224 Adjacent sequences: A349464 A349465 A349466 * A349468 A349469 A349470 KEYWORD nonn AUTHOR Tejo Vrush, Nov 18 2021 STATUS approved

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Last modified March 21 16:33 EDT 2023. Contains 361408 sequences. (Running on oeis4.)