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[ binomial(n,7)/7 ].
3

%I #17 Dec 07 2019 12:18:18

%S 0,0,0,0,0,0,0,0,1,5,17,47,113,245,490,919,1634,2778,4546,7198,11074,

%T 16611,24363,35022,49443,68671,93971,126861,169148,222968,290828,

%U 375653,480836,610292,768516,960645

%N [ binomial(n,7)/7 ].

%H <a href="/index/Rec#order_50">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,7,7,-28,56,-70,56,-28,7,7,-28, 56,-70,56,-28,7,7, -28,56,-70,56,-28,7,7,-28,56, -70,56,-28,7,7,-28,56,-70,56,-28,7,7,-28,56, -70,56,-28,8,-1).

%t Floor[Binomial[Range[0,40],7]/7] (* _Harvey P. Dale_, Oct 08 2012 *)

%o (Sage) [floor(binomial(n,7)/7) for n in range(0,36)]# - _Zerinvary Lajos_, Dec 01 2009

%o (PARI) a(n)=binomial(n,7)\7 \\ _Charles R Greathouse IV_, Sep 28 2015

%Y Partial sums of A011797.

%Y A column of triangle A011857.

%K nonn,easy

%O 0,10

%A _N. J. A. Sloane_.