OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (22,-147,302,-176).
FORMULA
a(n) = (7*11^(n+3) - 15*8^(n+3) + 35*2^(n+3) - 27)/1890. - Yahia Kahloune, Jul 08 2013
a(0)=1, a(1)=22, a(2)=337, a(3)=4482; for n>3, a(n) = 22*a(n-1) -147*a(n-2) +302*a(n-3)-176*a(n-4). - Vincenzo Librandi, Jul 08 2013
a(0)=1, a(1)=22; for n>1, a(n) = 19*a(n-1) -88*a(n-2) +2^n -1. - Vincenzo Librandi, Jul 08 2013
MATHEMATICA
CoefficientList[Series[1 / ((1 - x) (1 - 2 x) (1 - 8 x) (1 - 11 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 08 2013 *)
LinearRecurrence[{22, -147, 302, -176}, {1, 22, 337, 4482}, 20] (* Harvey P. Dale, Jun 09 2017 *)
PROG
(Magma) I:=[1, 22, 337, 4482]; [n le 4 select I[n] else 22*Self(n-1)-147*Self(n-2)+302*Self(n-3)-176*Self(n-4): n in [1..25]]; /* or */ m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-2*x)*(1-8*x)*(1-11*x)))); // Vincenzo Librandi, Jul 08 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved