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 A269552 #26 Apr 28 2025 09:02:46 %S A269552 3,203,19803,1940403,190139603,18631740603,1825720439403, %T A269552 178901971320803,17530567468999203,1717816709990601003, %U A269552 168328507011609899003,16494475870427779501203,1616290306794910781218803,158379955590030828779941403,15519619357516226309653038603,1520764317081000147517217841603 %N A269552 Expansion of (-3*x^2 + 94*x - 3)/(x^3 - 99*x^2 + 99*x - 1). %C A269552 Mc Laughlin (2010) gives an identity relating ten sequences, denoted a_k, b_k, ..., f_k, p_k, q_k, r_k, s_k. This is the sequence f_k. %H A269552 Seiichi Manyama, <a href="/A269552/b269552.txt">Table of n, a(n) for n = 0..500</a> %H A269552 J. Mc Laughlin, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Papers1/48-1/McLaughlin.pdf">An identity motivated by an amazing identity of Ramanujan</a>, Fib. Q., 48 (No. 1, 2010), 34-38. %H A269552 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (99, -99, 1). %F A269552 G.f.: (-3*x^2 + 94*x - 3)/(x^3 - 99*x^2 + 99*x - 1). %F A269552 a(n) = 99*a(n-1)-99*a(n-2)+a(n-3). - _Wesley Ivan Hurt_, May 20 2021 %t A269552 CoefficientList[Series[(-3x^2+94x-3)/(x^3-99x^2+99x-1),{x,0,20}],x] (* or *) LinearRecurrence[{99,-99,1},{3,203,19803},20] (* _Harvey P. Dale_, Jan 14 2019 *) %o A269552 (PARI) Vec((-3*x^2 + 94*x - 3)/(x^3 - 99*x^2 + 99*x - 1) + O(x^20)) %Y A269552 Cf. A010701, A261004, A269548, A269549, A269550, A269551, A269553, A269554, A269555, A269556. %K A269552 nonn,easy %O A269552 0,1 %A A269552 _Michel Marcus_, Feb 29 2016