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%I #17 Jun 13 2023 11:13:09
%S 0,0,0,0,0,0,0,1,4,14,35,77,154,286,500,834,1334,2062,3094,4522,6460,
%T 9044,12435,16824,22432,29516,38371,49335,62790,79170,98962,122713,
%U 151032,184594,224150,270526,324632
%N a(n) = floor(binomial(n,6)/6).
%H <a href="/index/Rec#order_55">Index entries for linear recurrences with constant coefficients</a>, signature (7, -22, 41, -50, 41, -22, 7, 0, -6, 15, -19, 9, 9, -19, 15, -6, 0, 6, -15, 19, -9, -9, 19, -16, 13, -22, 35, -35, 22, -13, 16, -19, 9, 9, -19, 15, -6, 0, 6, -15, 19, -9, -9, 19, -15, 6, 0, -7, 22, -41, 50, -41, 22, -7, 1).
%o (Sage) [floor(binomial(n,6)/6) for n in range(0,37)] # _Zerinvary Lajos_, Dec 01 2009
%o (PARI) a(n) = binomial(n, 6)\6; \\ _Michel Marcus_, Jan 28 2018
%Y A column of triangle A011857.
%K nonn
%O 0,9
%A _N. J. A. Sloane_
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