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<a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>

<a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>

<a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>

a(p) = 1 for all primes p.

Records 0, 1, 2, 6, 7, 10, 14, etc., occur at n = 1, 2, 50, 125, 243, 1729, 8192, etc.

Antti Karttunen, <a href="/A324872/b324872.txt">Table of n, a(n) for n = 1..10000</a> (based on Hans Havermann's factorization of A156552)

allocated for Antti Karttunen

a(n) = A001222(n) + A061395(n) - A324861(n).

0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1

1,50

a(n) = A001222(n) + A061395(n) - A324861(n).

a(n) = 1 + A252464(n) - A324861(n).

(PARI)

A061395(n) = if(1==n, 0, primepi(vecmax(factor(n)[, 1])));

A324861(n) = #binary(A324876(n)); \\ Needs also code from A324876.

A324872(n) = (bigomega(n)+A061395(n)-A324861(n));

Cf. A001222, A061395, A252464, A324861, A324870, A324876.

allocated

nonn

Antti Karttunen, Mar 21 2019

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allocated for Antti Karttunen

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