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 A225393 Expansion of 1/(1 - x - x^2 + x^6 - x^8). 24
 1, 1, 2, 3, 5, 8, 12, 19, 30, 47, 74, 116, 183, 288, 453, 713, 1122, 1766, 2779, 4373, 6882, 10830, 17043, 26820, 42206, 66419, 104522, 164484, 258845, 407339, 641021, 1008761, 1587466, 2498162, 3931305, 6186612, 9735741, 15320931, 24110227, 37941757, 59708145 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 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,-1,0,1). FORMULA G.f.: 1/(1 - x - x^2 + x^6 - x^8). a(n) = a(n-1) + a(n-2) - a(n-6) + a(n-8). - Ilya Gutkovskiy, Nov 16 2016 MATHEMATICA CoefficientList[Series[1/(1 - x - x^2 + x^6 - x^8), {x, 0, 50}], x] LinearRecurrence[{1, 1, 0, 0, 0, -1, 0, 1}, {1, 1, 2, 3, 5, 8, 12, 19}, 50] (* G. C. Greubel, Nov 16 2016 *) PROG (PARI) Vec(1/(1-x-x^2+x^6-x^8) + O(x^50)) \\ G. C. Greubel, Nov 16 2016 (Magma) m:=50; R:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1-x-x^2+x^6-x^8))); // 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, A225394, A225482, A225499. Sequence in context: A024567 A303668 A060961 * A243850 A357519 A179018 Adjacent sequences: A225390 A225391 A225392 * A225394 A225395 A225396 KEYWORD nonn,easy AUTHOR Roger L. Bagula, May 06 2013 STATUS approved

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Last modified July 24 22:37 EDT 2024. Contains 374585 sequences. (Running on oeis4.)