OFFSET
1,2
REFERENCES
W. C. Yang (yang(AT)math.wisc.edu), Derivatives of self-compositions of functions, preprint, 1997.
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
a(n) = n/720 * (n^5 + 39*n^4 + 355*n^3 + 645*n^2 - 356*n + 36).
G.f.: (x^5-4*x^4+x^3+10*x^2-8*x-1)*x/(x-1)^7. - Alois P. Heinz, Aug 18 2012
MAPLE
a:= n-> n*(36+(-356+(645+(355+(39+n)*n)*n)*n)*n)/720:
seq(a(n), n=1..40); # Alois P. Heinz, Aug 18 2012
MATHEMATICA
Table[(n/720*(n^5+39*n^4+355*n^3+645*n^2-356*n+36)), {n, 1, 100}] (* Vincenzo Librandi, Aug 18 2012 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Christian G. Bower, Aug 15 1999.
STATUS
approved