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

0,1

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

Table of n, a(n) for n=0..14.

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).

Mathematica

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

Prog

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

Crossrefs

Cf. A051028, A051029, A051030.

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

Sequence in context: A140870 A157601 A094454 * A157587 A054702 A140015

Adjacent sequences: A261001 A261002 A261003 * A261005 A261006 A261007

Keyword

easy,sign

Author

N. J. A. Sloane, Aug 12 2015

Status

approved