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A116080
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Permutation of natural numbers generated by 4-rowed array shown below.
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1
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0, 4, 1, 8, 5, 2, 12, 9, 6, 3, 16, 13, 10, 7, 20, 17, 14, 11, 24, 21, 18, 15, 28, 25, 22, 19, 32, 29, 26, 23, 36, 33, 30, 27, 40, 37, 34, 31, 44, 41, 38, 35, 48, 45, 42, 39, 52, 49, 46, 43, 56, 53, 50, 47, 60, 57, 54, 51, 64, 61, 58, 55, 68, 65, 62, 59, 72, 69, 66, 63, 76, 73, 70
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 0 4 8 12 16 20 24 28 32 ... a(n) = 4n => A008586
1 5 9 13 17 21 25 29 33 ... a(n) = 4n+1 => A016813
2 6 10 14 18 22 26 30 34 ... a(n) = 4n+2 => A016825
3 7 11 15 19 23 27 31 35 ... a(n) = 4n+3 => A004767
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REFERENCES
| 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
| For n > 0, a(n+5) = a(n) + 8 iff a(n+5)<a(n) : a(n+7) = a(n) + 8, iff a(n+7)<a(n): a(n+4k) = a(n) + 4k with k >=1.
a(n)= +a(n-1) +a(n-4) -a(n-5), n>=12. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 22 2010]
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CROSSREFS
| Cf. A115302.
Sequence in context: A193337 A141567 A134417 * A205296 A143820 A103553
Adjacent sequences: A116077 A116078 A116079 * A116081 A116082 A116083
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KEYWORD
| easy,nonn
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AUTHOR
| Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Mar 12 2006
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EXTENSIONS
| Corrected (47 replaced by 41) by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 22 2010
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