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Search: id:A048716
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A048716 Numbers n such that binary expansion matches ((0)*00(1?)1)*(0*). +0
8
0, 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 19, 24, 25, 32, 33, 34, 35, 36, 38, 48, 49, 50, 51, 64, 65, 66, 67, 68, 70, 72, 73, 76, 96, 97, 98, 99, 100, 102, 128, 129, 130, 131, 132, 134, 136, 137, 140, 144, 145, 146, 147 (list; graph; listen)
OFFSET

1,3

COMMENT

If bit i is 1, then bits i+-2 must be 0. All terms satisfy A048725(n) = 5*n.

It appears that n is in the sequence if and only if C(5n,n) is odd (cf. A003714). - Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 09 2003

A116361(a(n)) <= 2. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 04 2006

LINKS

Index entries for sequences defined by congruent products between domains N and GF(2)[X]

Index entries for sequences defined by congruent products under XOR

CROSSREFS

Superset of A048715 and A048719. Cf. A048729, A003714, A115845, A115847, A116360.

Sequence in context: A002348 A019469 A081491 this_sequence A010434 A074230 A064438

Adjacent sequences: A048713 A048714 A048715 this_sequence A048717 A048718 A048719

KEYWORD

nonn

AUTHOR

Antti Karttunen, 30.3.1999

page 1

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Last modified September 7 12:28 EDT 2008. Contains 143483 sequences.


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