cp's OEIS Frontend

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.

A269553 Expansion of (-5*x^2 + 138*x + 3)/(x^3 - 99*x^2 + 99*x - 1).

This page as a plain text file.
%I A269553 #33 Apr 28 2025 09:02:39
%S A269553 -3,-435,-42763,-4190475,-410623923,-40236954115,-3942810879483,
%T A269553 -386355229235355,-37858869654185443,-3709782870880938195,
%U A269553 -363520862476677757803,-35621334739843539326635,-3490527283642190176252563,-342036052462194793733424675,-33516042614011447595699365723
%N A269553 Expansion of (-5*x^2 + 138*x + 3)/(x^3 - 99*x^2 + 99*x - 1).
%C A269553 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 p_k.
%H A269553 Seiichi Manyama, <a href="/A269553/b269553.txt">Table of n, a(n) for n = 0..500</a>
%H A269553 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 A269553 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (99,-99,1).
%t A269553 LinearRecurrence[{99, -99, 1}, {-3, -435, -42763}, 20] (* _Paolo Xausa_, Mar 04 2024 *)
%o A269553 (PARI) Vec((-5*x^2 + 138*x + 3)/(x^3 - 99*x^2 + 99*x - 1) + O(x^20))
%Y A269553 Cf. A010701, A261004, A269548, A269549, A269550, A269551, A269552, A269554, A269555, A269556.
%K A269553 sign,easy
%O A269553 0,1
%A A269553 _Michel Marcus_, Feb 29 2016