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1, 3, 4, 2, 5, 6, 7, 8, 11, 12, 9, 10, 13, 14, 17, 15, 16, 19, 20, 23, 24, 18, 21, 22, 25, 26, 29, 30, 27, 28, 31, 32, 35, 36, 39, 40, 33, 34, 37, 38, 41, 42, 45, 46, 49, 43, 44, 47, 48, 51, 52, 55, 56, 59, 60, 50, 53, 54, 57, 58, 61, 62, 65, 66, 69, 70, 63, 64, 67, 68, 71, 72
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| The original name was "Generalized Connell sequence". However, this sequence has only a passing resemblance to Connell-like sequences (see A001614 and the paper by Iannucci & Mills-Taylor), which are all monotone, while this sequence is a bijection of natural numbers.
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LINKS
| Douglas E. Iannucci, Donna Mills-Taylor, On Generalizing the Connell Sequence, Journal of Integer Sequences, Vol. 2 (1999), Article 99.1.7
Index entries for sequences that are permutations of the natural numbers
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FORMULA
| a(n) = A116966(A074147(n)-1). - Antti Karttunen, Oct 05 2009.
1. The sequence is formed by concatenating subsequences S1,S2,S3 ..., each of finite length. 2. The subsequence S1 consists of the element 1. 3. The n-th subsequence has n elements. 4. Each subsequence is nondecreasing. 5. The difference between two consecutive elements in the same subsequence is varying, but >= 1.
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EXAMPLE
| Let us separate natural numbers into two disjoint sets (A042963 and A014601):
1,2,5,6,9,10,13,14,17,18,21,22,25,26,29,30,...
3,4,7,8,11,12,15,16,19,20,23,24,27,28,31,32,...
then
S1={1}
S2={3,4}
S3={2,5,6,}
S4={7,8,11,12}
S5={9,10,13,14,17}
...
and concatenating S1/S2/S3/S4/S5/... gives this sequence.
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CROSSREFS
| Inverse: A166016. Cf. A138606-A138608, A138612.
Sequence in context: A143939 A197269 A201905 * A056699 A127296 A205152
Adjacent sequences: A138606 A138607 A138608 * A138610 A138611 A138612
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KEYWORD
| nonn,tabl,easy
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AUTHOR
| Ctibor O. Zizka (ctibor.zizka(AT)seznam.cz), May 14 2008
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EXTENSIONS
| Edited, extended and keyword tabl added by Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Oct 05 2009
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