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 (10,-45,120,-210,252,-210,120,-45,10,-1).
FORMULA
G.f.: (13*x^7+312*x^6+1835*x^5+3272*x^4+2029*x^3+442*x^2+32*x+1)*x / (x-1)^10.
a(n) = (7936*n^9 +4635*n^8 +24756*n^7 +43974*n^6 +65352*n^5 +60795*n^4 +81524*n^3 +72036*n^2 +1872*n)/9!.
MAPLE
a:= n-> ((((((((7936*n+4635)*n+24756)*n+43974)*n+65352)*n
+60795)*n+81524)*n+72036)*n+1872)*n/9!:
seq(a(n), n=0..40);
MATHEMATICA
LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {0, 1, 42, 817, 8429, 55627, 268272, 1030101, 3331117, 9425128}, 30] (* Harvey P. Dale, Jan 09 2019 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Jul 28 2017
STATUS
approved