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%I #38 Jun 13 2023 09:26:40
%S 0,0,0,0,0,0,0,0,0,1,5,18,55,143,333,715,1430,2701,4862,8398,13996,
%T 22610,35530,54479,81719,120175,173586,246675,345345,476905,650325,
%U 876525,1168700,1542684,2017356,2615091,3362260,4289780,5433721,6835972,8544965,10616471
%N a(n) = floor( binomial(n,8)/9).
%H <a href="/index/Rec#order_35">Index entries for linear recurrences with constant coefficients</a>, signature (8, -28, 56, -70, 56, -28, 8, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -8, 28, -56, 70, -56, 28, -8, 1).
%F a(n) = floor(binomial(n+1,9)/(n+1)). [_Gary Detlefs_, Nov 23 2011]
%t Table[Floor[Binomial[n, 8] / 9], {n, 1, 50}] (* _Vincenzo Librandi_, Oct 15 2015 *)
%o (PARI) a(n) = binomial(n, 8)\9; \\ _Michel Marcus_, Oct 14 2015
%o (Magma) [Binomial(n, 8) div 9: n in [0..45]]; // _Vincenzo Librandi_, Oct 15 2015
%Y Cf. A000031, A001037, A028723, A051168.
%Y A column of triangle A011847.
%K nonn
%O 0,11
%A _N. J. A. Sloane_.
%E Definition corrected by _Pedro Antonio_, Oct 14 2015
%E More terms from _Vincenzo Librandi_, Oct 15 2015
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