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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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,9 LINKS Antti Karttunen, Table of n, a(n) for n = 1..20000 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. A001055, A349906. Cf. A000004, A340101 (even and odd bisections). Sequence in context: A341514 A276084 A230403 * A248908 A133565 A239704 Adjacent sequences:  A349904 A349905 A349906 * A349908 A349909 A349910 KEYWORD nonn AUTHOR Antti Karttunen, Dec 13 2021 STATUS approved

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Last modified August 12 23:52 EDT 2022. Contains 356077 sequences. (Running on oeis4.)