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 A329036 Number of common divisors of n and A122111(n). 3
 1, 2, 1, 1, 1, 4, 1, 1, 3, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 6, 2, 2, 1, 2, 1, 2, 1, 3, 1, 8, 1, 1, 2, 2, 1, 2, 1, 2, 2, 3, 1, 4, 1, 3, 2, 2, 1, 2, 1, 2, 2, 3, 1, 1, 1, 8, 2, 2, 1, 4, 1, 2, 1, 1, 1, 4, 1, 3, 2, 4, 1, 2, 1, 2, 6, 3, 1, 4, 1, 3, 1, 2, 1, 12, 1, 2, 2, 4, 1, 4, 1, 3, 2, 2, 1, 2, 1, 1, 1, 1, 1, 4, 1, 4, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Antti Karttunen, Table of n, a(n) for n = 1..65537 FORMULA a(n) = A000005(A280491(n)) = A000005(gcd(n, A122111(n))). a(n) = 1+A001222(A329042(n)) = 1+A001222(A329043(n)). PROG (PARI) 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))); A280491(n) = gcd(n, A122111(n)); A329036(n) = numdiv(A280491(n)); CROSSREFS Cf. A000005, A001222, A122111, A280491, A329042, A329043. Sequence in context: A174726 A300239 A299203 * A205552 A255707 A260757 Adjacent sequences:  A329033 A329034 A329035 * A329037 A329038 A329039 KEYWORD nonn AUTHOR Antti Karttunen, Nov 08 2019 STATUS approved

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Last modified February 23 06:13 EST 2020. Contains 332159 sequences. (Running on oeis4.)