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%I #14 May 17 2018 17:27:55
%S 20,110,368,961,2149,4316,8000,13931,23071,36655,56244,83769,121594,
%T 172567,240089,328176,441530,585615,766730,992095,1269934,1609562,
%U 2021481,2517473,3110702,3815817,4649060,5628378,6773533,8106230,9650230,11431482,13478251
%N Integer part of (4th elementary symmetric function of 3,4,...,n+5)/(3+4+...+n+5).
%H Ivan Neretin, <a href="/A024192/b024192.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = floor(1/2880 n (1 + n) (2 + n) (53848 + 26922 n + 5165 n^2 + 450 n^3 + 15 n^4)/(8 + n)). - _Ivan Neretin_, May 17 2018
%e For n=2, the 4th elementary symmetric function of (3,4,5,6,7) is 3*4*5*6 + 3*4*5*7 + 3*4*6*7 + 3*5*6*7 + 4*5*6*7 = 2754, and 2754/(3+4+5+6+7) = 110.16, so a(2) = 110. - _Michael B. Porter_, May 05 2018
%t Table[Floor[1/2880 x (1 + x) (2 + x) (53848 + 26922 x + 5165 x^2 + 450 x^3 + 15 x^4)/(8 + x)], {x, 33}] (* _Ivan Neretin_, May 02 2018 *)
%K nonn
%O 1,1
%A _Clark Kimberling_
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