A094161 - OEIS

%I #19 Sep 21 2017 09:03:18

%S 0,5,315,2670,10810,30475,69405,137340,246020,409185,642575,963930,

%T 1392990,1951495,2663185,3553800,4651080,5984765,7586595,9490310,

%U 11731650,14348355,17380165,20868820,24858060,29393625,34523255,40296690,46765670,53983935,62007225

%N Column 5 of A048790.

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

%H Colin Barker, <a href="/A094161/b094161.txt">Table of n, a(n) for n = 1..1000</a>

%H R. C. Schroeppel, <a href="http://www.experimentalmath.info/workshop2004/schroeppel-talk.pdf">A few mathematical experiments</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).

%F 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

%F a(n) = 5*(672-1715*n+1595*n^2-652*n^3+100*n^4)/6. - _Colin Barker_, Feb 28 2015

%F G.f.: -5*x^2*(112*x^3+229*x^2+58*x+1) / (x-1)^5. - _Colin Barker_, Feb 28 2015

%o (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

%K nonn,easy

%O 1,2

%A _N. J. A. Sloane_, May 05 2004

%E More terms from _Joshua Zucker_, Aug 14 2006