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Search: id:A055562
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| A055562 |
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a(n) = least number greater than a(n-1) not the sum of an earlier pair of consecutive terms, a(0) = 2. |
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+0
3
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| 2, 3, 4, 6, 8, 9, 11, 12, 13, 15, 16, 18, 19, 21, 22, 24, 26, 27, 29, 30, 32, 33, 35, 36, 38, 39, 41, 42, 44, 45, 47, 48, 49, 51, 52, 54, 55, 57, 58, 60, 61, 63, 64, 66, 67, 69, 70, 72, 73, 75, 76, 78, 79, 81, 82, 84, 85, 87, 88, 90, 91, 93, 94, 96, 98, 99, 101, 102, 104, 105
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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J.-P. Allouche and J. Shallit, The ring of k-regular sequences, II, Theoret. Computer Sci., 307 (2003), 3-29.
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LINKS
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J.-P. Allouche and J. Shallit, The Ring of k-regular Sequences, II
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FORMULA
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a(n) = A022441(n)-a(n-1) for n>0
a(2n) = 3n+1 + (floor(log_2 n) mod 2), n >= 1; a(2n+1) = 3n+3, n >= 0 - Jeffrey Shallit, Jun 08, 2000.
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EXAMPLE
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a(2) = 4 because a(1) = 3 and 4<>a(0)+a(1), a(3) = 6 because a(2) = 4 and 5 = a(0)+a(1) but 6<>a(0)+a(1) and 6<>a(1)+a(2)
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CROSSREFS
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Complement of A022441. See A001651 for a(0) = 1 and A055563 for a(0) = 3
Sequence in context: A135571 A138394 A140752 this_sequence A020900 A002479 A010458
Adjacent sequences: A055559 A055560 A055561 this_sequence A055563 A055564 A055565
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), May 26 2000
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