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A349907
Number of factorizations of n into odd factors > 1 (a(1) = 1 by convention).
4
1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 3, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 4, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 4, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 4, 0, 2, 0, 1, 0, 5, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 4, 0, 1, 0, 1, 0, 5
OFFSET
1,9
LINKS
FORMULA
a(2n) = 0, a(2n-1) = A001055(2n-1).
PROG
(PARI) A349907(n, m=n) = if(1==n, 1, my(s=0); fordiv(n, d, if((d>1)&&(d<=m)&&(d%2), s += A349907(n/d, d))); (s));
CROSSREFS
Cf. A000004, A340101 (even and odd bisections).
Sequence in context: A341514 A276084 A230403 * A248908 A133565 A239704
KEYWORD
nonn
AUTHOR
Antti Karttunen, Dec 13 2021
STATUS
approved