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 A322819 a(n) = A000593(A122111(n)). 9
 1, 1, 1, 4, 1, 4, 1, 6, 13, 4, 1, 6, 1, 4, 13, 8, 1, 24, 1, 6, 13, 4, 1, 8, 40, 4, 31, 6, 1, 24, 1, 12, 13, 4, 40, 32, 1, 4, 13, 8, 1, 24, 1, 6, 31, 4, 1, 12, 121, 78, 13, 6, 1, 48, 40, 8, 13, 4, 1, 32, 1, 4, 31, 14, 40, 24, 1, 6, 13, 78, 1, 48, 1, 4, 124, 6, 121, 24, 1, 12, 57, 4, 1, 32, 40, 4, 13, 8, 1, 48, 121, 6, 13, 4, 40, 14, 1, 240 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS Antti Karttunen, Table of n, a(n) for n = 1..20000 Index entries for sequences computed from indices in prime factorization FORMULA a(n) = A000593(A122111(n)). PROG (PARI) A000593(n) = sigma(n>>valuation(n, 2)); A064989(n) = {my(f); f = factor(n); if((n>1 && f[1, 1]==2), f[1, 2] = 0); for (i=1, #f~, f[i, 1] = precprime(f[i, 1]-1)); factorback(f)}; A122111(n) = if(1==n, n, prime(bigomega(n))*A122111(A064989(n))); A322819(n) = A000593(A122111(n)); CROSSREFS Cf. A000593, A122111, A322813. Sequence in context: A193254 A193454 A368921 * A089655 A322820 A097936 Adjacent sequences: A322816 A322817 A322818 * A322820 A322821 A322822 KEYWORD nonn AUTHOR Antti Karttunen, Dec 27 2018 STATUS approved

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Last modified August 5 17:31 EDT 2024. Contains 374953 sequences. (Running on oeis4.)