A284579 - OEIS

A284579

Carryless base-2 product (A048720) of run lengths in binary representation of n.

1, 1, 1, 2, 2, 1, 2, 3, 3, 2, 1, 2, 4, 2, 3, 4, 4, 3, 2, 4, 2, 1, 2, 3, 6, 4, 2, 4, 6, 3, 4, 5, 5, 4, 3, 6, 4, 2, 4, 6, 3, 2, 1, 2, 4, 2, 3, 4, 8, 6, 4, 8, 4, 2, 4, 6, 5, 6, 3, 6, 8, 4, 5, 6, 6, 5, 4, 8, 6, 3, 6, 5, 6, 4, 2, 4, 8, 4, 6, 8, 4, 3, 2, 4, 2, 1, 2, 3, 6, 4, 2, 4, 6, 3, 4, 5, 10, 8, 6, 12, 8, 4, 8, 12, 6, 4, 2, 4, 8, 4, 6, 8, 12, 5, 6, 12, 6, 3, 6

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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

FORMULA

A284581(n) = n - a(n).

EXAMPLE

For n=56, A007088(56) = "111000" in binary, we do carryless multiplication (in base-2) of 3 and 3, thus a(56) = A048720(3,3) = 5.

PROG

(Scheme) (define (A284579 n) (reduce A048720bi 1 (binexp->runcount1list n))) ;; Where A048720bi is a two-argument function implementing carryless binary product, A048720. For binexp->runcount1list see A167489.

CROSSREFS

Cf. A000975 (positions of ones).

Cf. A007088, A048720, A284580, A284581.

Differs from A167489 for the first time at n=56, where a(56) = 5, while A167489(56) = 9.

Sequence in context: A284583 A064742 A227185 * A167489 A256790 A337225

Adjacent sequences: A284576 A284577 A284578 * A284580 A284581 A284582

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, Apr 14 2017

STATUS

approved