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a(n) = floor(C(n,7)/8).
1

%I #18 Jun 13 2023 09:25:35

%S 0,0,0,0,0,0,0,0,1,4,15,41,99,214,429,804,1430,2431,3978,6298,9690,

%T 14535,21318,30644,43263,60087,82225,111003,148005,195097,254475,

%U 328696,420732,534006,672452,840565,1043460

%N a(n) = floor(C(n,7)/8).

%H <a href="/index/Rec#order_39">Index entries for linear recurrences with constant coefficients</a>, signature (7, -21, 35, -35, 21, -7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -7, 21, -35, 35, -21, 7, -1).

%F a(n) = floor(binomial(n+1,8)/(n+1)). [_Gary Detlefs_, Nov 23 2011]

%t Floor[Binomial[Range[0,40],7]/8] (* _Harvey P. Dale_, Apr 23 2011 *)

%Y A column of triangle A011847.

%K nonn

%O 0,10

%A _N. J. A. Sloane_.