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A076775 Greatest common divisor of n and the binary representation of n interpreted decimally. 1
1, 2, 1, 4, 1, 2, 1, 8, 1, 10, 1, 4, 1, 2, 1, 16, 1, 2, 1, 20, 21, 2, 1, 8, 1, 2, 1, 4, 1, 10, 1, 32, 11, 2, 1, 4, 1, 2, 1, 40, 1, 42, 1, 4, 1, 2, 1, 16, 1, 10, 1, 4, 1, 2, 1, 8, 1, 2, 1, 20, 1, 2, 21, 64, 1, 22, 1, 4, 3, 10, 1, 8, 1, 2, 1, 4, 1, 2, 1, 80, 3, 2, 1, 84, 1, 2, 1, 8, 1, 10, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..16384

Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537

Index entries for sequences related to binary expansion of n

EXAMPLE

12 is '1100' in binary representation: a(12) = gcd(12,1100) = gcd(3*2^2,11*5^2*2^2) = 4.

MATHEMATICA

Table[GCD[n, FromDigits[IntegerDigits[n, 2]]], {n, 100}] (* Harvey P. Dale, Jun 18 2014 *)

PROG

(PARI)

A007088(n) = fromdigits(binary(n), 10); \\ From A007088.

A076775(n) = gcd(n, A007088(n)); \\ Antti Karttunen, May 18 2019

CROSSREFS

Cf. A007088.

Sequence in context: A006519 A322362 A087258 * A324873 A325566 A218621

Adjacent sequences:  A076772 A076773 A076774 * A076776 A076777 A076778

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Nov 14 2002

STATUS

approved

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Last modified September 20 12:34 EDT 2019. Contains 327235 sequences. (Running on oeis4.)