OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (23,-163,393,-252).
FORMULA
a(0)=1, a(1)=23, a(2)=366, a(3)=5062; for n>3, a(n) = 23*a(n-1) -163*a(n-2) +393*a(n-3) -252*a(n-4). - Vincenzo Librandi, Jul 11 2013
MATHEMATICA
CoefficientList[Series[1 / ((1 - x) (1 - 3 x) (1 - 7 x) (1 - 12 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 11 2013 *)
LinearRecurrence[{23, -163, 393, -252}, {1, 23, 366, 5062}, 30] (* Harvey P. Dale, Aug 09 2015 *)
PROG
(Magma) m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-3*x)*(1-7*x)*(1-12*x)))); /* or */ I:=[1, 23, 366, 5062]; [n le 4 select I[n] else 23*Self(n-1)-163*Self(n-2)+393*Self(n-3)-252*Self(n-4): n in [1..25]]; // Vincenzo Librandi, Jul 11 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved