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Search: id:A138585
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| A138585 |
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The sequence is formed by concatenating subsequences S1;S2;... each of finite length. S1 consists of the element 1. The n-th subsequence consist of numbers {(n/2)*(n/2 -1)+1 ; ... ; (n/2)*(n/2 +1)} for n even, {(n-1)^2 /2 ; ... ; (n-1)/2 * ((n-1)/2 +2)} for n odd 4); each subsequence is increasing, the difference between two consecutive elements in it is 1. |
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+0
1
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| 1, 1, 2, 1, 2, 3, 3, 4, 5, 6, 4, 5, 6, 7, 8, 7, 8, 9, 10, 11, 12, 9, 10, 11, 12, 13, 14, 15, 13, 14, 15, 16, 17, 18, 19, 20, 16, 17, 18, 19, 20, 21, 22, 23, 24, 21, 22, 23, 24, 25, 26
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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A generalized Connell sequence.
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REFERENCES
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Douglas E. Iannucci,Dnd onna Mills-Taylor :On Generalizing the Connell Sequence, Journal of Integer Sequences, Vol. 2 (1999), Article 99.1.7, http://www.cs.uwaterloo.ca/journals/JIS/IANN/iann1.html
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EXAMPLE
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S1 : {1}
S2 : {1;2}
S3 : {1;2;3;}
S4 : {3;4;5;6}
S5 : {4;5;6;7;8}
S6 : {7;8;9;10;11;12} etc.
so concatenation of S1/S2/S3/S4/S5/S6... gives :
1;1;2;1;2;3;3;4;5;6;4;5;6;7;8;7;8;9;10;11;12;...
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CROSSREFS
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Cf. A001614.
Adjacent sequences: A138582 A138583 A138584 this_sequence A138586 A138587 A138588
Sequence in context: A048219 A087188 A102885 this_sequence A070048 A116498 A015739
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KEYWORD
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easy,nonn
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AUTHOR
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Ctibor O. Zizka (ctibor.zizka(AT)seznam.cz), May 13 2008
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