OFFSET
0,3
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..1000
B. A. Huberman and T. Hogg, Complexity and adaptation, Evolution, games and learning (Los Alamos, N.M., 1985). Phys. D 22 (1986), no. 1-3, 376-384.
Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
FORMULA
G.f.: -(8*x^6+135*x^5+493*x^4+537*x^3+190*x^2+21*x+1)*x / (x-1)^9.
a(n) = (1385*n^8 +1124*n^7 +4018*n^6 +6776*n^5 +7945*n^4 +9716*n^3 +6812*n^2 +2544*n)/8!.
MAPLE
a:= n-> (((((((1385*n+1124)*n+4018)*n+6776)*n+7945)*n
+9716)*n+6812)*n+2544)*n/8!:
seq(a(n), n=0..40);
MATHEMATICA
CoefficientList[Series[-(8*x^6 + 135*x^5 + 493*x^4 + 537*x^3 + 190*x^2 + 21*x + 1)*x/(x - 1)^9, {x, 0, 30}], x] (* Wesley Ivan Hurt, Oct 14 2023 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Jul 28 2017
STATUS
approved