A016184 Expansion of 1/((1-7x)(1-12x)).

1, 19, 277, 3667, 46405, 573667, 7001653, 84843379, 1023885349, 12326977795, 148206208789, 1780451832211, 21379263273733, 256648048295203, 3080454802615285, 36970205192893363, 443675695245289957

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Index entries for linear recurrences with constant coefficients, signature (19,-84).

Formula

a(n) = (12^(n+1) - 7^(n+1))/5. - Lambert Klasen (lambert.klasen(AT)gmx.net), Feb 06 2005

a(n) = 12*a(n-1) + 7^n, a(0)=1. - Vincenzo Librandi, Feb 09 2011

a(n) = 19*a(n-1) - 84*a(n-2), a(0)=1, a(1)=19. - Vincenzo Librandi, Feb 09 2011

Mathematica

Join[{a=1, b=19}, Table[c=19*b-84*a; a=b; b=c, {n, 40}]] (* Vladimir Joseph Stephan Orlovsky, Feb 14 2011 *)
CoefficientList[Series[1/((1-7x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[ {19, -84}, {1, 19}, 20] (* Harvey P. Dale, Jul 09 2018 *)

Prog

(PARI) Vec(1/((1-7*x)*(1-12*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012

Crossrefs

Sequence in context: A322539 A199819 A016187 * A197742 A322628 A322053

Adjacent sequences: A016181 A016182 A016183 * A016185 A016186 A016187

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved