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 A324198 a(n) = gcd(n, A276086(n)). 40
 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 5, 1, 1, 1, 1, 15, 1, 1, 1, 1, 5, 3, 1, 1, 1, 25, 1, 3, 1, 1, 1, 1, 1, 3, 1, 7, 1, 1, 1, 3, 5, 1, 7, 1, 1, 15, 1, 1, 1, 7, 25, 3, 1, 1, 1, 5, 7, 3, 1, 1, 1, 1, 1, 21, 1, 1, 1, 1, 1, 3, 35, 1, 1, 1, 1, 75, 1, 7, 1, 1, 5, 3, 1, 1, 7, 5, 1, 3, 1, 1, 1, 7, 1, 3, 1, 1, 1, 1, 49, 3, 5, 1, 1, 1, 1, 105 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Antti Karttunen, Table of n, a(n) for n = 0..65537 FORMULA a(n) = gcd(n, A276086(n)). From Antti Karttunen, Oct 21 2019: (Start) A000005(a(n)) = A327168(n). a(A328316(n)) = A328323(n). a(n) = A324580(n) / A328584(n). (End) MATHEMATICA Array[Block[{i, m, n = #, p}, m = i = 1; While[n > 0, p = Prime[i]; m *= p^Mod[n, p]; n = Quotient[n, p]; i++]; GCD[#, m]] &, 106, 0] (* Michael De Vlieger, Feb 04 2022 *) PROG (PARI) A276086(n) = { my(i=0, m=1, pr=1, nextpr); while((n>0), i=i+1; nextpr = prime(i)*pr; if((n%nextpr), m*=(prime(i)^((n%nextpr)/pr)); n-=(n%nextpr)); pr=nextpr); m; }; A324198(n) = gcd(n, A276086(n)); (PARI) A324198(n) = { my(m=1, p=2, orgn=n); while(n, m *= (p^min(n%p, valuation(orgn, p))); n = n\p; p = nextprime(1+p)); (m); }; \\ Antti Karttunen, Oct 21 2019 CROSSREFS Cf. A003989, A276086, A323878, A324284, A324350, A324351, A324384, A324577, A324580, A324646, A327858, A328323, A327168, A328316, A328323, A328386, A328584. Cf. A324583 (positions of ones), A324584 (and terms larger than one). Cf. also A328231. Sequence in context: A115069 A046556 A046535 * A135939 A061653 A069226 Adjacent sequences: A324195 A324196 A324197 * A324199 A324200 A324201 KEYWORD nonn AUTHOR Antti Karttunen, Feb 25 2019 STATUS approved

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Last modified November 29 07:12 EST 2022. Contains 358422 sequences. (Running on oeis4.)