A016174 Expansion of 1/((1-6x)(1-11x)).

1, 17, 223, 2669, 30655, 344981, 3841447, 42535853, 469573999, 5175391685, 56989774711, 627250318877, 6901930289983, 75934293883829, 835355596886215, 9189381750732941, 101086020367969807, 1111963150707112613

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (17, -66).

Formula

(11^(n+1) - 6^(n+1))/5. - Lambert Klasen (lambert.klasen(AT)gmx.net), Feb 06 2005

a(n) = 11*a(n-1) + 6^n, a(0)=1. - Vincenzo Librandi, Feb 09 2011

Maple

A016174:=n->(11^(n + 1) - 6^(n + 1))/5; seq(A016174(n), n=0..30); # Wesley Ivan Hurt, Jan 30 2014

Mathematica

Join[{a=1, b=17}, Table[c=17*b-66*a; a=b; b=c, {n, 40}]] (* Vladimir Joseph Stephan Orlovsky, Feb 08 2011 *)

Prog

(PARI) Vec(1/((1-6*x)*(1-11*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012

Crossrefs

Sequence in context: A016181 A285233 A063043 * A016281 A160398 A181380

Adjacent sequences: A016171 A016172 A016173 * A016175 A016176 A016177

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved