This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A181600 #39 Sep 08 2022 08:45:54 %S A181600 1,1,2,3,5,8,13,21,33,53,85,136,218,349,559,895,1434,2297,3679,5893, %T A181600 9439,15119,24217,38790,62132,99520,159407,255331,408978,655083, %U A181600 1049283,1680695,2692063,4312028,6906816,11063033,17720278,28383559,45463532,72821479 %N A181600 Expansion of 1/(1 - x - x^2 + x^8 - x^10). %C A181600 Limiting ratio is 1.60176..., the largest real root of -1 + x^2 - x^8 - x^9 + x^10. Compare this constant to Lehmer's Salem constant A073011 and the golden mean. %H A181600 G. C. Greubel, <a href="/A181600/b181600.txt">Table of n, a(n) for n = 0..1000</a> %H A181600 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,0,0,0,0,0,-1,0,1). %F A181600 a(n) = a(n-1) + a(n-2) - a(n-8) + a(n-10). - _Franck Maminirina Ramaharo_, Oct 31 2018 %t A181600 CoefficientList[Series[1/(1 - x - x^2 + x^8 - x^10), {x, 0, 50}], x] %t A181600 LinearRecurrence[{1, 1, 0, 0, 0, 0, 0, -1, 0, 1}, {1, 1, 2, 3, 5, 8, 13, 21, 33, 53}, 50] (* _Harvey P. Dale_, Aug 11 2015 *) %o A181600 (PARI) Vec(1/(1 -x -x^2 +x^8 -x^10) + O(x^50)) \\ _G. C. Greubel_, Nov 16 2016 %o A181600 (Magma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1 -x-x^2+x^8-x^10))); // _G. C. Greubel_, Nov 03 2018 %Y A181600 Cf. A029826, A117791, A143419, A143438, A143472, A143619, A143644, A147663, A173908, A173911, A173924, A173925, A174522, A175740, A175772, A175773, A175782, A204631, A225391, A225393, A225394, A225482, A225499. %K A181600 nonn,easy %O A181600 0,3 %A A181600 _Roger L. Bagula_, May 06 2013