OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (16,-71,116,-60).
FORMULA
a(n) = -(1/18)+2^n-(27/14)*3^n+(125/63)*10^n. [Antonio Alberto Olivares, May 22 2012]
a(0)=1, a(1)=16; for n>1, a(n) = 13*a(n-1) -30*a(n-2) +2^n - 1. - Vincenzo Librandi, Jul 05 2013
a(0)=1, a(1)=16, a(2)=185, a(3)=1940; for n>3, a(n) = 16*a(n-1) -71*a(n-2) +116*a(n-3) -60*a(n-4). - Vincenzo Librandi, Jul 05 2013
MATHEMATICA
CoefficientList[Series[1 / ((1 - x) (1 - 2 x) (1 - 3 x) (1 - 10 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 05 2013 *)
PROG
(Magma) m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-2*x)*(1-3*x)*(1-10*x)))); /* or */ I:=[1, 16, 185, 1940]; [n le 4 select I[n] else 16*Self(n-1)-71*Self(n-2)+116*Self(n-3)-60*Self(n-4): n in [1..25]]; // Vincenzo Librandi, Jul 05 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved