A094161 Column 5 of A048790.

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

Offset: 1

Author

N. J. A. Sloane, May 05 2004

Keywords

• nonn
• easy

References

• Dan Hoey, Bill Gosper and Richard C. Schroeppel, Discussions in Math-Fun Mailing list, circa Jul 13 1999.

Links

• Colin Barker, Table of n, a(n) for n = 1..1000
• R. C. Schroeppel, A few mathematical experiments
• Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Programs

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

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

Extensions

More terms from Joshua Zucker, Aug 14 2006