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A300889 a(n) is the least positive multiple of n which is a Fibbinary number (A003714). 2
1, 2, 9, 4, 5, 18, 21, 8, 9, 10, 33, 36, 65, 42, 165, 16, 17, 18, 133, 20, 21, 66, 69, 72, 325, 130, 81, 84, 145, 330, 341, 32, 33, 34, 1365, 36, 37, 266, 273, 40, 41, 42, 129, 132, 585, 138, 329, 144, 1029, 650, 1173, 260, 265, 162, 165, 168, 513, 290, 649 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = n * A300867(n).

a(2*n) = 2*a(n).

a(n) = n iff n belongs to A003714.

EXAMPLE

The first terms, alongside their binary representation, are:

n a(n) binary(a(n))

-- ---- ------------

1 1 1

2 2 10

3 9 1001

4 4 100

5 5 101

6 18 10010

7 21 10101

8 8 1000

9 9 1001

10 10 1010

11 33 100001

12 36 100100

13 65 1000001

14 42 101010

15 165 10100101

16 16 10000

17 17 10001

18 18 10010

19 133 10000101

20 20 10100

PROG

(PARI) a(n) = forstep (k=1, oo, 2, if (bitand(k*n, 2*k*n)==0, return (k*n)))

CROSSREFS

Cf. A003714, A300867.

Sequence in context: A281384 A332091 A203648 * A275807 A202324 A199267

Adjacent sequences: A300886 A300887 A300888 * A300890 A300891 A300892

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Mar 14 2018

STATUS

approved

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Last modified March 22 20:34 EDT 2023. Contains 361433 sequences. (Running on oeis4.)