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 A225394 Expansion of 1/(1 - x - x^2 + x^7 - x^9). 24
 1, 1, 2, 3, 5, 8, 13, 20, 32, 51, 81, 129, 205, 326, 519, 826, 1314, 2091, 3327, 5294, 8424, 13404, 21328, 33937, 54000, 85924, 136721, 217548, 346159, 550803, 876429, 1394560, 2219002, 3530841, 5618219, 8939622, 14224586, 22633938, 36014767, 57306132, 91184618 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Limiting ratio is 1.59118..., the largest real root of -1 + x^2 - x^7 - x^8 + x^9 = 0. LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (1,1,0,0,0,0,-1,0,1). FORMULA a(n) = a(n-1) + a(n-2) - a(n-7) + a(n-9). - Ilya Gutkovskiy, Nov 16 2016 MATHEMATICA CoefficientList[Series[1/(1 - x - x^2 + x^7 - x^9), {x, 0, 50}], x] LinearRecurrence[{1, 1, 0, 0, 0, 0, -1, 0, 1}, {1, 1, 2, 3, 5, 8, 13, 20, 32}, 50] (* G. C. Greubel, Nov 16 2016 *) PROG (PARI) Vec(1/(1-x-x^2+x^7-x^9) + O(x^50)) \\ G. C. Greubel, Nov 16 2016 (Magma) m:=50; R:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x-x^2+x^7-x^9))); // G. C. Greubel, Nov 03 2018 CROSSREFS Cf. A029826, A117791, A143419, A143438, A143472, A143619, A143644, A147663, A173908, A173911, A173924, A173925, A174522, A175740, A175772, A175773, A175782, A181600, A204631, A225391, A225393, A225482, A225499. Sequence in context: A055805 A023437 A322332 * A013985 A092834 A080106 Adjacent sequences: A225391 A225392 A225393 * A225395 A225396 A225397 KEYWORD nonn,easy AUTHOR Roger L. Bagula, May 06 2013 STATUS approved

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Last modified July 21 14:09 EDT 2024. Contains 374474 sequences. (Running on oeis4.)