%I A103290
%S A103290 0,0,2,10,32,80,170,322,560,912,1410,2090,2992,4160,5642,7490,9760,12512,
%T A103290 15810,19722,24320,29680,35882,43010,51152,60400,70850,82602,95760,110432,
%U A103290 126730,144770,164672,186560,210562,236810,265440,296592,330410,367042
%N A103290 n*(n-1)*(n^2-n+4)/6.
%C A103290 Arises in studying the Goldbach conjecture.
%D A103290 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]
%F A103290 G.f.:-2*x^2*(x^2+1)/(x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), 
               Aug 11 2009]
%Y A103290 Sequence in context: A024456 A050927 A011921 this_sequence A131068 A034555 
               A084154
%Y A103290 Adjacent sequences: A103287 A103288 A103289 this_sequence A103291 A103292 
               A103293
%K A103290 nonn
%O A103290 0,3
%A A103290 N. J. A. Sloane (njas(AT)research.att.com), Dec 03 2006