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Search: id:A053738
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| A053738 |
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If n is in sequence then 2n and 2n+1 are not (and 1 is in the sequence); numbers with an odd number of digits in binary. |
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+0
3
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| 1, 4, 5, 6, 7, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Runs of successive numbers have lengths which are powers of 4
One might also prefix this sequence with an initial zero.
Apparently, for any m>=1, 2^m is the largest power of 2 dividing sum(k=1,n,binomial(2k,k)^m) if and only if n is in the sequence. - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 27 2003
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CROSSREFS
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Cf. A029837, A079112.
Sequence in context: A047566 A037355 A046300 this_sequence A154787 A107759 A161627
Adjacent sequences: A053735 A053736 A053737 this_sequence A053739 A053740 A053741
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KEYWORD
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base,easy,nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Apr 06 2000
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