|
|
|
|
0, 5, 315, 2670, 10810, 30475, 69405, 137340, 246020, 409185, 642575, 963930, 1392990, 1951495, 2663185, 3553800, 4651080, 5984765, 7586595, 9490310, 11731650, 14348355, 17380165, 20868820, 24858060, 29393625, 34523255, 40296690, 46765670, 53983935, 62007225
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
REFERENCES
|
Dan Hoey, Bill Gosper and Richard C. Schroeppel, Discussions in Math-Fun Mailing list, circa Jul 13 1999.
|
|
LINKS
|
|
|
FORMULA
|
a(n) = 5*(n-1) + 305*C(n-1,2) + 1740*C(n-1,3) + 2000*C(n-1,4) where C(n,k) is the binomial coefficient. - Joshua Zucker, Aug 14 2006
a(n) = 5*(672-1715*n+1595*n^2-652*n^3+100*n^4)/6. - Colin Barker, Feb 28 2015
G.f.: -5*x^2*(112*x^3+229*x^2+58*x+1) / (x-1)^5. - Colin Barker, Feb 28 2015
|
|
PROG
|
(PARI) concat(0, Vec(-5*x^2*(112*x^3+229*x^2+58*x+1)/(x-1)^5 + O(x^100))) \\ Colin Barker, Feb 28 2015
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|