A016246 Expansion of 1/((1-x)(1-6x)(1-10x)).

1, 17, 213, 2389, 25445, 263781, 2693797, 27273893, 274754469, 2759637925, 27668938661, 277124743077, 2773859569573, 27754268528549, 277636722282405, 2776931444805541, 27772699779944357, 277747309790777253

Offset

0,2

Links

Table of n, a(n) for n=0..17.

Index entries for linear recurrences with constant coefficients, signature (17, -76, 60).

Formula

a(0)=1, a(1)=17, a(n) = 16*a(n-1) - 60*a(n-2) + 1. - Vincenzo Librandi, Feb 10 2011

a(0)=1, a(1)=17, a(2)=213, a(n) = 17*a(n-1) - 76*a(n-2) + 60*a(n-3). - Harvey P. Dale, Jan 27 2013

a(n) = (5*10^(n+2) - 9*6^(n+2) + 4)/180. - Yahia Kahloune, Aug 13 2013

Mathematica

CoefficientList[Series[1/((1-x)(1-6x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[ {17, -76, 60}, {1, 17, 213}, 30] (* Harvey P. Dale, Jan 27 2013 *)

Prog

(PARI) a(n) = (5*10^(n+2) - 9*6^(n+2) + 4)/180; \\ Joerg Arndt, Aug 13 2013
(PARI) Vec(1/((1-x)*(1-6*x)*(1-10*x)) + O(x^40)) \\ Michel Marcus, Sep 04 2017

Crossrefs

Sequence in context: A255819 A070137 A021054 * A009441 A016293 A139733

Adjacent sequences: A016243 A016244 A016245 * A016247 A016248 A016249

Keyword

nonn

Author

N. J. A. Sloane

Status

approved