OFFSET
1,2
LINKS
Alois P. Heinz, Table of n, a(n) for n = 1..1000
W. C. Yang, Derivatives are essentially integer partitions, Discrete Mathematics, 222(1-3), July 2000, 235-245.
FORMULA
G.f.: (x^6-7*x^5+15*x^4-4*x^3-19*x^2+14*x+1)*x/(x-1)^8.
a(n) = n*(n+6)*(n^5+50*n^4+568*n^3+722*n^2-713*n+92)/5040.
MAPLE
a:= n-> n*(n+6)*(92+(-713+(722+(568+(50+n)*n)*n)*n)*n)/5040:
seq(a(n), n=1..40);
MATHEMATICA
CoefficientList[Series[(x^6-7x^5+15x^4-4x^3-19x^2+14x+1)x/(x-1)^8, {x, 0, 40}], x]//Rest (* Harvey P. Dale, Aug 02 2020 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Aug 18 2012
STATUS
approved