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
Links
- Index entries for linear recurrences with constant coefficients, signature (19,-84).
Programs
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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 *) -
PARI
Vec(1/((1-7*x)*(1-12*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012
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