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Search: id:A137235
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| A137235 |
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a(n) = (n+1)/2 if n is odd; a(n) = n/2 + 6 if n is even. |
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+0
1
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| 6, 1, 7, 2, 8, 3, 9, 4, 10, 5, 11, 6, 12, 7, 13, 8, 14, 9, 15, 10, 16, 11, 17, 12, 18, 13, 19, 14, 20, 15, 21, 16, 22, 17, 23, 18, 24, 19, 25, 20, 26, 21, 27, 22, 28, 23, 29, 24, 30, 25, 31, 26, 32, 27, 33, 28, 34, 29, 35, 30, 36, 31, 37, 32, 38, 33, 39, 34, 40, 35, 41, 36, 42, 37
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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See the paper by A. Karabegov and J. Holland for details.
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REFERENCES
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A. Karabegov and J. Holland, "Finding all solutions to the Magic Hexagram", The College Mathematics Journal, vol. 39 (2008), pp. 102-106.
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FORMULA
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O.g.f.: -(-6+5*x)/[(-1+x)^2 *(1+x)] . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 16 2008
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EXAMPLE
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If n=0 then a(n) = 6.
If n=1 then a(n) = 1.
If n=2 then a(n) = 7.
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MAPLE
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A137235 := proc(n) if n mod 2 = 0 then n/2+6 ; else (n+1)/2 ; fi ; end: seq(A137235(n), n=0..80) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 16 2008
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MATHEMATICA
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Table[If[OddQ[n], (n + 1)/2, (n + 12)/2], {n, 0, 60}] - Erich Friedman (efriedma(AT)stetson.edu), Mar 22 2008
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CROSSREFS
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Adjacent sequences: A137232 A137233 A137234 this_sequence A137236 A137237 A137238
Sequence in context: A113811 A126168 A028323 this_sequence A021166 A131231 A110942
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KEYWORD
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nonn
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AUTHOR
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Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Mar 08 2008
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl) and Erich Friedman (efriedma(AT)stetson.edu), Mar 22 2008, Mar 16 2008
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