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A300889
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a(n) is the least positive multiple of n which is a Fibbinary number (A003714).
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2
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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
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OFFSET
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1,2
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LINKS
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Rémy Sigrist, Table of n, a(n) for n = 1..10000
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FORMULA
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a(n) = n * A300867(n).
a(2*n) = 2*a(n).
a(n) = n iff n belongs to A003714.
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EXAMPLE
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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
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PROG
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(PARI) a(n) = forstep (k=1, oo, 2, if (bitand(k*n, 2*k*n)==0, return (k*n)))
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CROSSREFS
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Cf. A003714, A300867.
Sequence in context: A281384 A332091 A203648 * A275807 A202324 A199267
Adjacent sequences: A300886 A300887 A300888 * A300890 A300891 A300892
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KEYWORD
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nonn,base
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AUTHOR
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Rémy Sigrist, Mar 14 2018
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STATUS
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approved
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