OFFSET
0,7
REFERENCES
D. E. Knuth, The Art of Computer Programming, Vol. 4A, Section 7.1.4.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,8,-7,6,-2,0,-1).
FORMULA
G.f.: x^5*(1-x)^2/(x^5+x^3-3*x^2+3*x-1)^2. - Alois P. Heinz, Oct 23 2008
MAPLE
a:= n-> (Matrix([[10, 4, 1, 0$7]]). Matrix (10, (i, j)-> if i=j-1 then 1 elif j=1 then [6, -15, 20, -15, 8, -7, 6, -2, 0, -1][i] else 0 fi)^n)[1, 8]: seq (a(n), n=0..50); # Alois P. Heinz, Oct 23 2008
MATHEMATICA
LinearRecurrence[{6, -15, 20, -15, 8, -7, 6, -2, 0, -1}, {0, 0, 0, 0, 0, 1, 4, 10, 20, 35}, 50] (* Paolo Xausa, Mar 17 2024 *)
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Don Knuth, Apr 11 2008
STATUS
approved