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 A328479 a(n) = n/A328478(n), where A328478(n) is obtained by repeatedly dividing n by the largest primorial that divides it until a fixed point is reached. 5
 1, 2, 1, 4, 1, 6, 1, 8, 1, 2, 1, 12, 1, 2, 1, 16, 1, 6, 1, 4, 1, 2, 1, 24, 1, 2, 1, 4, 1, 30, 1, 32, 1, 2, 1, 36, 1, 2, 1, 8, 1, 6, 1, 4, 1, 2, 1, 48, 1, 2, 1, 4, 1, 6, 1, 8, 1, 2, 1, 60, 1, 2, 1, 64, 1, 6, 1, 4, 1, 2, 1, 72, 1, 2, 1, 4, 1, 6, 1, 16, 1, 2, 1, 12, 1, 2, 1, 8, 1, 30, 1, 4, 1, 2, 1, 96, 1, 2, 1, 4, 1, 6, 1, 8, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(n) is the largest term in A025487 that divides n evenly. - Hal M. Switkay, May 04 2021 LINKS Antti Karttunen, Table of n, a(n) for n = 1..30030 Index entries for sequences related to primorial numbers FORMULA a(n) = n / A328478(n). MATHEMATICA A111701[n_] := A111701[n] = Block[{m = n, k = 1}, While[IntegerQ[m/Prime[k]], m = m/Prime[k]; k++]; m]; A328478[n_] := If[A111701[n] == n, n, A328478[A111701[n]]]; A328479[n_] := n/A328478[n]; Array[A328479, 105] (* Jean-François Alcover, Jan 11 2022, after Robert G. Wilson v in A111701 *) PROG (PARI) A111701(n) = forprime(p=2, , if(n%p, return(n), n /= p)); A328478(n) = { my(u=A111701(n)); if(u==n, return(n), return(A328478(u))); }; A328479(n) = (n/A328478(n)); CROSSREFS Cf. A002110, A053589, A111701, A328478. Sequence in context: A318441 A161510 A329379 * A340346 A193267 A327832 Adjacent sequences: A328476 A328477 A328478 * A328480 A328481 A328482 KEYWORD nonn AUTHOR Antti Karttunen, Oct 19 2019 STATUS approved

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Last modified April 15 13:47 EDT 2024. Contains 371689 sequences. (Running on oeis4.)