%I #3 Mar 30 2012 16:50:06
%S 1,2,3,16,25,9,3577,2944,15741,26575,4495513,12504,56280729661,
%T 44436679,29505985,63813303296,10004122565473,6162434073,
%U 965843331633293,167791152125,3181977977743649,506778072148248857,27256898762578419475451,585293809045696
%N Numerator of Cotesian number C(n,1).
%D Charles Jordan, Calculus of Finite Differences, Chelsea 1965, p. 513.
%e 1/2, 2/3, 3/8, 16/45, 25/96, 9/35, 3577/17280, 2944/14175, 15741/89600, 26575/149688, 4495513/29030400, 12504/79625, 56280729661/402361344000, 44436679/312741000, ... = A100623/A100624 = A002178/A002176 (the latter not being in lowest terms)
%Y See A002176 for further references. A diagonal of A100640/A100641.
%K nonn,frac
%O 1,2
%A _N. J. A. Sloane_, Dec 04 2004