OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (2,0,-1).
FORMULA
From R. J. Mathar, Apr 07 2011: (Start)
G.f.: x*(8-7*x)/( (1-x)*(1-x-x^2) ).
a(n) = A022099(n) - 1. (End)
a(n) = F(n+2) + 7*F(n) - 1, where F = A000045. - G. C. Greubel, Aug 25 2017
MATHEMATICA
LinearRecurrence[{2, 0, -1}, {0, 8, 9}, 60] (* Vladimir Joseph Stephan Orlovsky, Feb 11 2012 *)
RecurrenceTable[{a[0]==0, a[1]==8, a[n]==a[n-1]+a[n-2]+1}, a, {n, 40}] (* Harvey P. Dale, Nov 23 2017 *)
PROG
(PARI) x='x+O('x^50); concat([0], Vec(x*(8-7*x)/( (1-x)*(1-x-x^2) ))) \\ G. C. Greubel, Aug 25 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved