A284580 - OEIS

A284580

Carryless base-2 product (A048720) of lengths of runs of 1-bits in binary representation of n.

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

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OFFSET

0,4

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..10922

Index entries for sequences related to binary expansion of n

EXAMPLE

a(119) = 5, as 119 is "1110111" in binary, and A048720(3,3) = 5.

PROG

(Scheme) (define (A284580 n) (reduce A048720bi 1 (bisect (reverse (binexp->runcount1list n)) (- 1 (modulo n 2))))) ;; Where A048720bi is a two-argument function implementing carryless binary product, A048720. For bisect and binexp->runcount1list, see under A227349.

CROSSREFS

Cf. A003714 (positions of ones).

Cf. A048720, A284579.

Differs from similar A227349 for the first time at n=119, where a(119) = 5, while A227349(119) = 9.

Sequence in context: A038374 A284569 A272604 * A227349 A246028 A232186

Adjacent sequences: A284577 A284578 A284579 * A284581 A284582 A284583

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, Apr 14 2017

STATUS

approved