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,-81,146,-80).
FORMULA
a(0)=1, a(1)=16, a(2)=175, a(3)=1650; for n>3, a(n) = 16*a(n-1) -81*a(n-2) +146*a(n-3) -80*a(n-4). - Vincenzo Librandi, Jul 07 2013
a(0)=1, a(1)=16; for n>1, a(n) = 13*a(n-1) -40*a(n-2) +2^n -1. - Vincenzo Librandi, Jul 07 2013
a(n) = (2*8^(n+3) - 7*5^(n+3) + 14*2^(n+3) - 9)/252. [Yahia Kahloune, Jul 07 2013]
MATHEMATICA
CoefficientList[Series[1 / ((1 - x) (1 - 2 x) (1 - 5 x) (1 - 8 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 07 2013 *)
LinearRecurrence[{16, -81, 146, -80}, {1, 16, 175, 1650}, 30] (* Harvey P. Dale, Nov 12 2021 *)
PROG
(Magma) I:=[1, 16, 175, 1650]; [n le 4 select I[n] else 16*Self(n-1)-81*Self(n-2)+146*Self(n-3)-80*Self(n-4): n in [1..25]]; // Vincenzo Librandi, Jul 07 2013
(Magma) m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-2*x)*(1-5*x)*(1-8*x)))); // Vincenzo Librandi, Jul 07 2013
CROSSREFS
KEYWORD
nonn,easy,changed
AUTHOR
STATUS
approved