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A093134
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A Jacobsthal trisection.
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6
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1, 0, 8, 56, 456, 3640, 29128, 233016, 1864136, 14913080, 119304648, 954437176, 7635497416, 61083979320, 488671834568, 3909374676536, 31274997412296, 250199979298360, 2001599834386888, 16012798675095096, 128102389400760776
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Counts closed walks at a vertex of the complete graph on 9 nodes K_9. Second binomial transform is A047855.
General form: k=8^n-k. Also: A001045, A078008, A097073, A115341, A015518, A054878, A015521, A109499, A015531, A109500, A109501, A015552, A015565 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 11 2008]
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
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FORMULA
| G.f.: (1-7x)/(1-7x-8x^2); a(n)=8^n/9+8(-1)^n/9; a(n)=A001045(3n-3)*8/3.
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MATHEMATICA
| k=0; lst={1, k}; Do[k=8^n-k; AppendTo[lst, k], {n, 1, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 11 2008]
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PROG
| (MAGMA) [(8^n/9+8*(-1)^n/9): n in [0..20]]; // Vincenzo Librandi, Oct 11 2011
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CROSSREFS
| Cf. A001045, A078008, A097073, A115341, A015518, A054878, A015521, A109499, A015531, A109500, A109501, A015552, A015565 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 11 2008]
Sequence in context: A033134 A126985 A027081 * A001398 A087290 A086787
Adjacent sequences: A093131 A093132 A093133 * A093135 A093136 A093137
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 23 2004
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