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

-3, -461, -45343, -4443321, -435400283, -42664784581, -4180713488823, -409667257120241, -40143210484294963, -3933624960203786301, -385455102889486762703, -37770666458209498958761, -3701139857801641411196043, -362673935398102648798253621, -35538344529156257940817658983

Offset: 0

Author

N. J. A. Sloane, Aug 12 2015

Keywords

• easy
• sign

Comments

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.

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..500
• Kwang-Wu Chen, Extensions of an amazing identity of Ramanujan, Fib. Q., 50 (2012), 227-230.
• J. Mc Laughlin, An identity motivated by an amazing identity of Ramanujan, Fib. Q., 48 (No. 1, 2010), 34-38.
• Index entries for linear recurrences with constant coefficients, signature (99, -99, 1).

Crossrefs

Cf. A051028, A051029, A051030.

Cf. A010701, A269548, A269549, A269550, A269551, A269552, A269553, A269554, A269555, A269556.

Programs

Mathematica

LinearRecurrence[{99,-99,1},{-3,-461,-45343},30] (* Harvey P. Dale, Dec 02 2017 *)

PARI

Vec((-3-164*x-x^2)/(1-99*x+99*x^2-x^3) + O(x^20)) \\ Michel Marcus, Feb 29 2016