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 A175740 Expansion of 1/(1 - x - x^10 - x^19 + x^20). 23
 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 17, 21, 26, 32, 39, 47, 56, 66, 79, 94, 112, 134, 161, 194, 234, 282, 339, 407, 488, 585, 701, 840, 1007, 1208, 1450, 1741, 2090, 2510, 3013, 3616, 4339, 5206, 6246, 7494, 8992, 10790, 12948 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,11 COMMENTS Limiting ratio is 1.2000265239873915. LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Michael Mossinghoff, Small Salem Numbers Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,-1). FORMULA G.f.: 1/((1 - x + x^2)*(1 - x^2 + x^4)*(1 - x^3 - x^4 + x^7 - x^10 - x^11 + x^14)). a(n) = a(n-1) + a(n-10) + a(n-19) + a(n-20). - Franck Maminirina Ramaharo, Oct 31 2018 MAPLE seq(coeff(series(1/(1 -x -x^10 -x^19 +x^20), x, n+1), x, n), n = 0..60); # G. C. Greubel, Dec 05 2019 MATHEMATICA CoefficientList[Series[1/(1 -x -x^10 -x^19 +x^20), {x, 0, 60}], x] PROG (PARI) my(x='x+O('x^60)); Vec(1/(1 -x -x^10 -x^19 +x^20)) \\ G. C. Greubel, Nov 03 2018 (MAGMA) R:=PowerSeriesRing(Integers(), 60); Coefficients(R!(1/(1 - x - x^10 - x^19 + x^20))); // G. C. Greubel, Nov 03 2018 (Sage) def A175740_list(prec):     P. = PowerSeriesRing(ZZ, prec)     return P( 1/(1 -x -x^10 -x^19 +x^20) ).list() A175740_list(60) # G. C. Greubel, Dec 05 2019 CROSSREFS Cf. A175739. Cf. A029826, A117791, A143419, A143438, A143472, A143619, A143644, A147663, A173908, A173911, A173924, A173925, A174522, A175772, A175773, A175782, A181600, A204631, A225391, A225393, A225394, A225482, A225499. Sequence in context: A064915 A180648 A322605 * A320321 A215009 A281943 Adjacent sequences:  A175737 A175738 A175739 * A175741 A175742 A175743 KEYWORD nonn,easy AUTHOR Roger L. Bagula, Dec 04 2010 STATUS approved

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Last modified April 19 11:58 EDT 2021. Contains 343114 sequences. (Running on oeis4.)