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,-159,378).
FORMULA
a(n) = 12*6^n -49*7^n/2 +27*9^n/2. - R. J. Mathar, Jun 30 2013
a(0)=1, a(1)=22, a(2)=325; for n>2, a(n) = 22*a(n-1) -159*a(n-2) +378*a(n-3). - Vincenzo Librandi, Jul 04 2013
a(n) = 16*a(n-1) -63*a(n-2) +6^n. - Vincenzo Librandi, Jul 04 2013
MATHEMATICA
CoefficientList[Series[1 / ((1 - 6 x) (1 - 7 x) (1 - 9 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 04 2013 *)
LinearRecurrence[{22, -159, 378}, {1, 22, 325}, 30] (* Harvey P. Dale, Dec 11 2018 *)
PROG
(Magma) m:=20; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-6*x)*(1-7*x)*(1-9*x)))); /* or */ I:=[1, 22, 325]; [n le 3 select I[n] else 22*Self(n-1)-159*Self(n-2)+378*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Jul 04 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved