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%I #7 Jul 29 2015 13:22:22
%S 0,0,2,10,32,80,170,322,560,912,1410,2090,2992,4160,5642,7490,9760,
%T 12512,15810,19722,24320,29680,35882,43010,51152,60400,70850,82602,
%U 95760,110432,126730,144770,164672,186560,210562,236810,265440,296592,330410,367042
%N n*(n-1)*(n^2-n+4)/6.
%C Arises in studying the Goldbach conjecture.
%D P. A. MacMahon, Properties of prime numbers deduced from the calculus of symmetric functions, Proc. London Math. Soc., 23 (1923), 290-316. [Coll. Papers, Vol. II, pp. 354-382] [See p. 301]
%H P. A. MacMahon, <a href="http://plms.oxfordjournals.org/content/s2-23/1/290.extract">Properties of prime numbers deduced from the calculus of symmetric functions</a>, Proc. London Math. Soc., 23 (1923), 290-316. = Coll. Papers, II, pp. 354-380.
%F G.f.:-2*x^2*(x^2+1)/(x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 11 2009]
%K nonn
%O 0,3
%A _N. J. A. Sloane_, Dec 03 2006