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A024391 2nd elementary symmetric function of the first n+1 positive integers congruent to 2 mod 3. 5

%I

%S 10,66,231,595,1275,2415,4186,6786,10440,15400,21945,30381,41041,

%T 54285,70500,90100,113526,141246,173755,211575,255255,305371,362526,

%U 427350,500500,582660,674541,776881,890445,1016025,1154440,1306536,1473186,1655290

%N 2nd elementary symmetric function of the first n+1 positive integers congruent to 2 mod 3.

%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)*(3*n+2)*(3*n+5)/8.

%F O.g.f.: -x*(10+16*x+x^2)/(-1+x)^5 . - _R. J. Mathar_, Feb 14 2008

%t LinearRecurrence[{5,-10,10,-5,1},{10,66,231,595,1275},50] (* _Harvey P. Dale_, Aug 19 2019 *)

%K nonn,easy

%O 1,1

%A _Clark Kimberling_

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Last modified September 27 13:46 EDT 2022. Contains 357062 sequences. (Running on oeis4.)