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Search: id:A115731
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| A115731 |
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Permutation of natural numbers generated by 3-rowed array shown below. |
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+0
1
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| 1, 6, 2, 7, 5, 3, 12, 8, 4, 13, 11, 9, 18, 14, 10, 19, 17, 15, 24, 20, 16, 25, 23, 21, 30, 26, 22, 31, 29, 27, 36, 32, 28, 37, 35, 33, 42, 38, 34, 43, 41, 39, 48, 44, 40, 49, 47, 45, 54, 50, 46, 55, 53, 51, 60, 56, 52, 61, 59, 57, 66, 62, 58, 67, 65, 63, 72, 68, 64, 73, 71, 69
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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1 6 7 12 13 18 19 24 25 ... a(n)=congruent to {0, 1} mod 6
2 5 8 11 14 17 20 23 26 ... a(n)= 3n+2
3 4 9 10 15 16 21 22 27 ... a(n)=congruent to {3, 4} mod 6
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REFERENCES
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M. Cerasoli, F. Eugeni and M. Protasi, Elementi di Matematica Discreta, Bologna 1988
Emanuele Munarini and Norma Zagaglia Salvi, Matematica Discreta,UTET, CittaStudiEdizioni, Milano 1997
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FORMULA
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Starting with the term a(3), a(n+6k) = a(n) + 6k, with k>=1.
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CROSSREFS
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Cf. A115302.
Adjacent sequences: A115728 A115729 A115730 this_sequence A115732 A115733 A115734
Sequence in context: A002371 A048595 A096050 this_sequence A021090 A086744 A019692
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KEYWORD
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easy,nonn
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AUTHOR
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Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Mar 19 2006
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