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A024378 a(n) = 2nd elementary symmetric function of the first n+1 positive integers congruent to 1 mod 4. 5

%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_

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)