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

-3, -435, -42763, -4190475, -410623923, -40236954115, -3942810879483, -386355229235355, -37858869654185443, -3709782870880938195, -363520862476677757803, -35621334739843539326635, -3490527283642190176252563, -342036052462194793733424675, -33516042614011447595699365723

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 p_k.

Links

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

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, -435, -42763}, 20] (* Paolo Xausa, Mar 04 2024 *)

Prog

(PARI) Vec((-5*x^2 + 138*x + 3)/(x^3 - 99*x^2 + 99*x - 1) + O(x^20))

Crossrefs

Sequence in context: A087771 A332143 A277234 * A361886 A086207 A326373

Adjacent sequences: A269550 A269551 A269552 * A269554 A269555 A269556

Keyword

sign,easy

Author

Michel Marcus, Feb 29 2016

Status

approved