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Search: id:A093848
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| A093848 |
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Variation on Golomb's sequence. |
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+0
2
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| 1, 2, 4, 5, 7, 9, 11, 12, 14, 16, 18, 20, 21, 23, 25, 27, 29, 31, 33, 34, 36, 38, 40, 42, 44, 46, 48, 50, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 99, 101, 103, 105, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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(a(n)) is the earliest monotonic sequence starting with a(1)=1 and satisfying a(n)=length of n-th run of consecutive integers with same parity.
a(1) odd terms, a(2) even terms, a(3) odd terms, a(4) even terms ... - Benoit Cloitre (benoit7848c(AT)orange.fr), May 26 2004
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FORMULA
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it seems that a(n)=2n-a*n^b+o(n^b) where a and b are 2 suitable constants. b=0.4....Does b=2-phi where phi is the golden ratio?
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EXAMPLE
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Sequence begins : (1),(2,4),(5,7,9,11),(12,14,16,18,20),(21,.... since the number of elements in each runs of odd or even integers are : 1,2,4,5,... the sequence itself.
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CROSSREFS
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Cf. A001462.
Cf. A049039.
Adjacent sequences: A093845 A093846 A093847 this_sequence A093849 A093850 A093851
Sequence in context: A114055 A083026 A047379 this_sequence A049039 A005152 A060831
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), May 21 2004
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