A322813 a(n) = A001227(A122111(n)).

1, 1, 1, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 4, 1, 2, 3, 2, 1, 2, 4, 2, 3, 2, 1, 4, 1, 2, 3, 2, 4, 4, 1, 2, 3, 2, 1, 4, 1, 2, 3, 2, 1, 2, 5, 6, 3, 2, 1, 4, 4, 2, 3, 2, 1, 4, 1, 2, 3, 2, 4, 4, 1, 2, 3, 6, 1, 4, 1, 2, 6, 2, 5, 4, 1, 2, 3, 2, 1, 4, 4, 2, 3, 2, 1, 4, 5, 2, 3, 2, 4, 2, 1, 8, 3, 6, 1, 4, 1, 2, 6

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) = A001227(A122111(n)).

Prog

(PARI)
A001227(n) = numdiv(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)));
A322813(n) = A001227(A122111(n));

Crossrefs

Cf. A001227, A122111, A322819.

Sequence in context: A339791 A087039 A102096 * A366189 A137866 A361200

Adjacent sequences: A322810 A322811 A322812 * A322814 A322815 A322816

Keyword

nonn

Author

Antti Karttunen, Dec 27 2018

Status

approved