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 A225391 Expansion of 1/(1 - x - x^2 - x^6 + x^8). 27
 1, 1, 2, 3, 5, 8, 14, 23, 38, 63, 104, 172, 285, 472, 781, 1293, 2140, 3542, 5863, 9705, 16064, 26590, 44013, 72852, 120588, 199603, 330392, 546880, 905221, 1498363, 2480159, 4105273, 6795236, 11247786, 18617851, 30817120, 51009909, 84433939, 139758925 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Limiting ratio is 1.65525..., the largest real root of 1 - x^2 - x^6 - x^7 + x^8. 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 a(n) = a(n-1) + a(n-2) + a(n-6) - a(n-8). - Franck Maminirina Ramaharo, Nov 02 2018 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, 14, 23}, 100] (* 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, A225393, A225394, A225482, A225499. Sequence in context: A282240 A004692 A094926 * A078843 A018068 A120400 Adjacent sequences:  A225388 A225389 A225390 * A225392 A225393 A225394 KEYWORD nonn,easy AUTHOR Roger L. Bagula, May 06 2013 STATUS approved

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Last modified January 18 14:07 EST 2021. Contains 340254 sequences. (Running on oeis4.)