A334108 a(n) = A331410(A122111(n)).

0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 3, 0, 2, 2, 1, 0, 1, 3, 1, 4, 2, 0, 3, 0, 2, 2, 1, 3, 2, 0, 1, 2, 1, 0, 3, 0, 2, 4, 1, 0, 2, 4, 4, 2, 2, 0, 3, 3, 1, 2, 1, 0, 2, 0, 1, 4, 2, 3, 3, 0, 2, 2, 4, 0, 3, 0, 1, 5, 2, 4, 3, 0, 2, 2, 1, 0, 2, 3, 1, 2, 1, 0, 3, 4, 2, 2, 1, 3, 2, 0, 5, 4, 3, 0, 3, 0, 1, 5

Offset: 1

Author

Antti Karttunen, Apr 29 2020

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..65537
• Index entries for sequences computed from indices in prime factorization

Crossrefs

Cf. A008578 (positions of zeros), A064989, A105560, A122111, A322865, A331410, A334107.

Programs

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)));
A331410(n) = if(!bitand(n,n-1),0,1+A331410(n+(n/vecmax(factor(n)[, 1]))));
A334108(n) = A331410(A122111(n));

Formula

a(n) = A331410(A122111(n)) = A331410(A322865(n)).

a(n) = A331410(A105560(n)) + a(A064989(n)).