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,-83,152,-84).
FORMULA
a(0)=1, a(1)=16, a(2)=173, a(3)=1592; for n>3, a(n) = 16*a(n-1) -83*a(n-2) +152*a(n-3) -84*a(n-4). - Vincenzo Librandi, Jul 07 2013
a(0)=1, a(1)=16; for n>1, a(n) = 13*a(n-1) -42*a(n-2) +2^n -1. - Vincenzo Librandi, Jul 07 2013
a(n) = (2*7^(n+3) - 3*6^(n+3) + 3*2^(n+3) - 2)/60. [Yahia Kahloune, Jul 07 2013]
MATHEMATICA
CoefficientList[Series[1 / ((1 - x) (1 - 2 x) (1 - 6 x) (1 - 7 x)), {x, 0, 20}], x] (* Vincenzo Librandi, Jul 07 2013 *)
LinearRecurrence[{16, -83, 152, -84}, {1, 16, 173, 1592}, 20] (* Harvey P. Dale, May 29 2019 *)
PROG
(Magma) I:=[1, 16, 173, 1592]; [n le 4 select I[n] else 16*Self(n-1)-83*Self(n-2)+152*Self(n-3)-84*Self(n-4): n in [1..25]]; /* or */ m:=25; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-x)*(1-2*x)*(1-6*x)*(1-7*x)))); // Vincenzo Librandi, Jul 07 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved