OFFSET
0,2
COMMENTS
Second but last (highest) coefficient of the Meixner polynomial M_n(x); 5th column of A060338.
LINKS
Index entries for linear recurrences with constant coefficients, signature (7, -21, 35, -35, 21, -7, 1).
FORMULA
G.f. -x*(9+26*x+5*x^2) / (x-1)^7 .
MAPLE
MATHEMATICA
Table[Times@@(n+Range[0, 3])(20n^2+72n+43)/360, {n, 0, 30}] (* or *) LinearRecurrence[ {7, -21, 35, -35, 21, -7, 1}, {0, 9, 89, 439, 1519, 4214, 10038}, 40] (* Harvey P. Dale, Dec 24 2014 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
R. J. Mathar, Mar 06 2013
STATUS
approved