OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..500
Index entries for linear recurrences with constant coefficients, signature (18,-92,120).
FORMULA
G.f.: 1/((1-2*x)*(1-6*x)*(1-10*x)).
From Vincenzo Librandi, Sep 01 2011: (Start)
a(n) = (2^n - 18*6^n + 25*10^n)/8.
a(n) = 18*a(n-1) - 92*a(n-2) + 120*a(n-3) for n > 2.
a(n) = 16*a(n-1) - 60*a(n-2) + 2^n for n > 1. (End)
MATHEMATICA
CoefficientList[Series[1/((1-2x)(1-6x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{18, -92, 120}, {1, 18, 232}, 30] (* Harvey P. Dale, Nov 06 2019 *)
PROG
(Magma) [(2^n-18*6^n+25*10^n)/8: n in [0..20]]; // Vincenzo Librandi, Sep 01 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved