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 A269550 #30 Apr 28 2025 09:02:55 %S A269550 7,465,45347,4443325,435400287,42664784585,4180713488827, %T A269550 409667257120245,40143210484294967,3933624960203786305, %U A269550 385455102889486762707,37770666458209498958765,3701139857801641411196047,362673935398102648798253625,35538344529156257940817658987 %N A269550 Expansion of (-5*x^2 + 228*x - 7)/(x^3 - 99*x^2 + 99*x - 1). %C A269550 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 d_k. %H A269550 Seiichi Manyama, <a href="/A269550/b269550.txt">Table of n, a(n) for n = 0..500</a> %H A269550 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 A269550 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (99,-99,1). %t A269550 LinearRecurrence[{99, -99, 1}, {7, 465, 45347}, 20] (* _Vincenzo Librandi_, Feb 29 2016 *) %o A269550 (PARI) Vec((-5*x^2 + 228*x - 7)/(x^3 - 99*x^2 + 99*x - 1) + O(x^20)) %o A269550 (Magma) I:=[7,465,45347]; [n le 3 select I[n] else 99*Self(n-1)+-99*Self(n-2)+Self(n-3): n in [1..20]]; // _Vincenzo Librandi_, Feb 29 2016 %Y A269550 Cf. A010701, A261004, A269548, A269549, A269551, A269552, A269553, A269554, A269555, A269556. %K A269550 nonn,easy %O A269550 0,1 %A A269550 _Michel Marcus_, Feb 29 2016