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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: A222239 A281384 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 April 24 22:18 EDT 2019. Contains 322446 sequences. (Running on oeis4.)