A004327 - OEIS

%I #20 Jan 13 2025 05:38:33

%S 1,30,528,7140,82251,850668,8145060,73629072,636763050,5317936260,

%T 43183019880,342700125300,2668424446233,20448884000160,

%U 154603005527328,1155454041309504,8550047575185300,62724534168736440

%N Binomial coefficient C(3n,n-9).

%D M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828.

%H Seiichi Manyama, <a href="/A004327/b004327.txt">Table of n, a(n) for n = 9..1000</a>

%H Milan Janjic, <a href="http://www.pmfbl.org/janjic/">Two Enumerative Functions</a>.

%H M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

%F D-finite with recurrence -2*(n+4)*(2*n+9)*(n-9)*a(n) +3*n*(3*n-1)*(3*n-2)*a(n-1)=0. - _R. J. Mathar_, Jan 13 2025

%t Table[Binomial[3n,n-9],{n,9,30}] (* _Harvey P. Dale_, May 29 2019 *)

%K nonn,easy

%O 9,2

%A _N. J. A. Sloane_