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 A022343 #21 Aug 18 2018 18:27:07 %S A022343 1,22,323,4004,45465,491106,5149327,53020528,539857109,5458923470, %T A022343 54963556011,551942523132,5533572185233,55422129454714, %U A022343 554747369555975,5550668292585416,55526041242871437,555377516005134438 %N A022343 Expansion of 1/((1-x)*(1-5*x)*(1-6*x)*(1-10*x)). %H A022343 G. C. Greubel, <a href="/A022343/b022343.txt">Table of n, a(n) for n = 0..995</a> %H A022343 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (22,-161,440,-300). %F A022343 a(n) = (1/180)*(9*5^(n+3) + 10^(n+3) - 9*6^(n+3) - 1). - _R. J. Mathar_, Mar 11 2011 %F A022343 a(n) = 16*a(n-1) - 60*a(n-2) + (5^(n+1) - 1)/4, n>=2. - _Vincenzo Librandi_, Mar 12 2011 %F A022343 E.g.f.: (1/180)*(- exp(x) + 1125*exp(5*x) - 1944*exp(6*x) + 1000*exp(10*x)). - _G. C. Greubel_, Aug 25 2017 %t A022343 Table[(1/180)*(9*5^(n + 3) + 10^(n + 3) - 9*6^(n + 3) - 1), {n,0,50}] (* _G. C. Greubel_, Aug 25 2017 *) %t A022343 CoefficientList[Series[1/((1-x)(1-5x)(1-6x)(1-10x)),{x,0,30}],x] (* or *) LinearRecurrence[{22,-161,440,-300},{1,22,323,4004},30] (* _Harvey P. Dale_, Aug 18 2018 *) %o A022343 (PARI) Vec(1/(1-x)/(1-5*x)/(1-6*x)/(1-10*x)+O(x^99)) \\ _Charles R Greathouse IV_, Dec 22 2011 %K A022343 nonn,easy %O A022343 0,2 %A A022343 _N. J. A. Sloane_