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%I #19 Jun 13 2023 11:10:34
%S 0,0,0,0,0,0,0,0,0,0,1,6,24,79,222,556,1271,2701,5402,10264,18662,
%T 32658,55268,90798,145278,226997,347172,520758,767433,1112778,1589683,
%U 2240008,3116533,4285233,5827917,7845273
%N a(n) = floor(binomial(n,9)/9).
%H <a href="/index/Rec#order_82">Index entries for linear recurrences with constant coefficients</a>, signature (10, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 9, 9, -45, 120, -210, 252, -210, 120, -45, 10, -1).
%t Floor[Binomial[Range[0,80],9]/9] (* _Harvey P. Dale_, Aug 30 2016 *)
%o (Sage) [floor(binomial(n,9)/9) for n in range(0,36)] # _Zerinvary Lajos_, Dec 01 2009
%o (PARI) a(n) = binomial(n,9)\9; \\ _Michel Marcus_, Jan 29 2018
%Y A column of triangle A011857.
%K nonn
%O 0,12
%A _N. J. A. Sloane_