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A305822 Number of irreducible factors (counted with multiplicity) of the (0,1)-polynomial encoded in the binary expansion of n has when it is factored over Q. 1
0, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 2, 4, 1, 3, 1, 3, 2, 2, 1, 4, 1, 2, 3, 3, 1, 3, 1, 5, 2, 2, 2, 4, 1, 2, 2, 4, 1, 3, 1, 3, 3, 2, 1, 5, 2, 2, 2, 3, 1, 4, 1, 4, 2, 2, 1, 4, 1, 2, 3, 6, 2, 3, 1, 3, 1, 3, 1, 5, 1, 2, 3, 3, 1, 3, 1, 5, 1, 2, 1, 4, 2, 2, 1, 4, 1, 4, 1, 3, 2, 2, 2, 6, 1, 3, 3, 3, 1, 3, 1, 4, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537

FORMULA

For all n >= 1, a(n) >= A206719(n).

PROG

(PARI) A305822(n) = vecsum(factor(Pol(binary(n)))[, 2]);

CROSSREFS

Cf. A206074 (gives the positions of 1's), A206719, A257000, A304751.

Cf. also A001222, A091222.

Differs from A277013 for the first time at n=65, where a(65) = 2, while A277013(65) = 1.

Sequence in context: A122810 A179953 A277013 * A086436 A001222 A257091

Adjacent sequences:  A305819 A305820 A305821 * A305823 A305824 A305825

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 10 2018

STATUS

approved

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Last modified January 15 20:47 EST 2019. Contains 319184 sequences. (Running on oeis4.)