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 A322321 a(n) = lcm(A003557(n), A173557(n)). 6
 1, 1, 2, 2, 4, 2, 6, 4, 6, 4, 10, 2, 12, 6, 8, 8, 16, 6, 18, 4, 12, 10, 22, 4, 20, 12, 18, 6, 28, 8, 30, 16, 20, 16, 24, 6, 36, 18, 24, 4, 40, 12, 42, 10, 24, 22, 46, 8, 42, 20, 32, 12, 52, 18, 40, 12, 36, 28, 58, 8, 60, 30, 12, 32, 48, 20, 66, 16, 44, 24, 70, 12, 72, 36, 40, 18, 60, 24, 78, 8, 54, 40, 82, 12, 64, 42, 56, 20 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Antti Karttunen, Table of n, a(n) for n = 1..10000 FORMULA a(n) = lcm(A003557(n), A173557(n)) = lcm(A322351(n), A322352(n)). a(n) = A000010(n) / A322320(n). MATHEMATICA a[n_] := If[n == 1, 1, Module[{f=FactorInteger[n]}, LCM[ Times@@ (First[#] ^(Last[#]-1)& /@  f), Times@@((#-1)& @@@ f)]]]; Array[a, 120] (* Amiram Eldar, Dec 05 2018 *) PROG (PARI) A003557(n) = { my(f=factor(n)); for (i=1, #f~, f[i, 2] = f[i, 2]-1); factorback(f); }; \\ From A003557 A173557(n) = factorback(apply(p -> p-1, factor(n)[, 1])); A322321(n) = lcm(A003557(n), A173557(n)); CROSSREFS Cf. A000010, A003557, A173557, A322320, A322351, A322352. Cf. also A322319, A322359. Sequence in context: A277030 A011773 A306275 * A080737 A152455 A293484 Adjacent sequences:  A322318 A322319 A322320 * A322322 A322323 A322324 KEYWORD nonn AUTHOR Antti Karttunen, Dec 05 2018 STATUS approved

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Last modified February 23 18:13 EST 2019. Contains 320437 sequences. (Running on oeis4.)