OFFSET
0,2
LINKS
G. C. Greubel, 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.: (1+8*x-8*x^2)/((1-x)*(1-x-x^2)).
a(n) = A022115(n) - 1. (End)
a(n) = 2*F(n+2) + 7*F(n) - 1, where F = A000045. - G. C. Greubel, Aug 25 2017
MATHEMATICA
LinearRecurrence[{2, 0, -1}, {1, 10, 12}, 50] (* G. C. Greubel, Aug 25 2017 *)
RecurrenceTable[{a[0]==1, a[1]==10, a[n]==a[n-1]+a[n-2]+1}, a, {n, 30}] (* Harvey P. Dale, Nov 04 2019 *)
PROG
(PARI) x='x+O('x^50); vec((1+8*x-8*x^2)/((1-x)*(1-x-x^2))) \\ G. C. Greubel, Aug 25 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved