%I #12 Apr 27 2017 22:47:07
%S 5,59,254,730,1675,3325,5964,9924,15585,23375,33770,47294,64519,86065,
%T 112600,144840,183549,229539,283670,346850,420035,504229,600484,
%U 709900,833625,972855,1128834,1302854,1496255,1710425,1946800,2206864,2492149
%N a(n) = 2nd elementary symmetric function of the first n+1 positive integers congruent to 1 mod 4.
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F a(n) = n*(n+1)*(12*n^2+8*n-5)/6.
%F G.f.: -x*(5+34*x+9*x^2) / (x-1)^5. - _R. J. Mathar_, Oct 08 2011
%p A024378:=n->n*(n+1)*(12*n^2+8*n-5)/6: seq(A024378(n), n=1..50); # _Wesley Ivan Hurt_, Apr 27 2017
%K nonn,easy
%O 1,1
%A _Clark Kimberling_