OFFSET
0,5
LINKS
Index entries for linear recurrences with constant coefficients, signature (2,-1,0,0,0,0,0,0,1,-2,1).
FORMULA
From R. J. Mathar, Jan 22 2011: (Start)
a(n) = 2*a(n-1) - a(n-2) + a(n-9) - 2*a(n-10) + a(n-11).
G.f.: -x*(1+x)*(x^8 - 2*x^7 + 2*x^6 - x^5 + x^4 - x^3 + 2*x^2 - 2*x + 1) / ( (1+x+x^2)*(x^6+x^3+1)*(x-1)^3 ). (End)
MAPLE
MATHEMATICA
Table[Ceiling[n^2/9], {n, 0, 100}] (* Wesley Ivan Hurt, Mar 10 2015 *)
LinearRecurrence[{2, -1, 0, 0, 0, 0, 0, 0, 1, -2, 1}, {0, 1, 1, 1, 2, 3, 4, 6, 8, 9, 12}, 60] (* Harvey P. Dale, Nov 02 2020 *)
PROG
(Magma) [Ceiling(n^2/9) : n in [0..100]]; // Wesley Ivan Hurt, Mar 10 2015
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved