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A261004 Expansion of (-3-164*x-x^2)/(1-99*x+99*x^2-x^3).

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%I A261004 #27 Apr 28 2025 09:03:09
%S A261004 -3,-461,-45343,-4443321,-435400283,-42664784581,-4180713488823,
%T A261004 -409667257120241,-40143210484294963,-3933624960203786301,
%U A261004 -385455102889486762703,-37770666458209498958761,-3701139857801641411196043,-362673935398102648798253621,-35538344529156257940817658983
%N A261004 Expansion of (-3-164*x-x^2)/(1-99*x+99*x^2-x^3).
%C A261004 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 a_k.
%H A261004 Seiichi Manyama, <a href="/A261004/b261004.txt">Table of n, a(n) for n = 0..500</a>
%H A261004 Kwang-Wu Chen, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Papers1/50-3/Kwang-WuChen.pdf">Extensions of an amazing identity of Ramanujan</a>, Fib. Q., 50 (2012), 227-230.
%H A261004 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 A261004 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (99, -99, 1).
%t A261004 LinearRecurrence[{99,-99,1},{-3,-461,-45343},30] (* _Harvey P. Dale_, Dec 02 2017 *)
%o A261004 (PARI) Vec((-3-164*x-x^2)/(1-99*x+99*x^2-x^3) + O(x^20)) \\ _Michel Marcus_, Feb 29 2016
%Y A261004 Cf. A051028, A051029, A051030.
%Y A261004 Cf. A010701, A269548, A269549, A269550, A269551, A269552, A269553, A269554, A269555, A269556.
%K A261004 easy,sign
%O A261004 0,1
%A A261004 _N. J. A. Sloane_, Aug 12 2015