A016250 Expansion of 1/((1-x)(1-7x)(1-9x)).

1, 17, 210, 2290, 23411, 230307, 2210020, 20850980, 194384421, 1796538997, 16498405430, 150792530070, 1373280939031, 12472565630087, 113044350922440, 1022937980063560, 9245213572903241, 83478324422447577, 753204735666257050, 6792141332045915450

Offset

0,2

Links

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (17,-79,63).

Formula

a(0)=1, a(1)=17, a(n) = 16*a(n-1) - 63*a(n-2) + 1. - Vincenzo Librandi, Feb 10 2011

a(n) = (3*9^(n+2) - 4*7^(n+2) + 1)/48. - Yahia Kahloune, Jul 09 2013

a(n) = 17*a(n-1) - 79*a(n-2) + 63*a(n-3) for n > 2. - Colin Barker, Sep 01 2015

Mathematica

CoefficientList[Series[1/((1-x)(1-7x)(1-9x)), {x, 0, 30}], x] (* or *) LinearRecurrence[ {17, -79, 63}, {1, 17, 210}, 30] (* Harvey P. Dale, Apr 21 2020 *)

Prog

(PARI) Vec(-1/((x-1)*(7*x-1)*(9*x-1)) + O(x^30)) \\ Colin Barker, Sep 01 2015

Crossrefs

Sequence in context: A014921 A081035 A016299 * A255819 A070137 A021054

Adjacent sequences: A016247 A016248 A016249 * A016251 A016252 A016253

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved