%I A034262
%S A034262 0,2,10,30,68,130,222,350,520,738,1010,1342,1740,2210,2758,3390,
%T A034262 4112,4930,5850,6878,8020,9282,10670,12190,13848,15650,17602,19710,
%U A034262 21980,24418,27030,29822,32800,35970,39338,42910,46692,50690,54910
%N A034262 n^3+n.
%C A034262 n such that x^3 + x + n factors over the integers. - James Buddenhagen 
               (jbuddenh(AT)gmail.com), Apr 19 2005
%C A034262 If a(n)=X [A155977], Y=b(n) [A071253], Z=c(n) [A034262], then X^2 + Y^2 
               = n*Z^3, (for all n of a(n), b(n),c(n)); Example: If n=3, a(3)=270, 
               b(3)=90, c(3)=30, then 270^2+90^2=3*30^3; [From Vincenzo Librandi 
               (vincenzo.librandi(AT)tin.it), Feb 01 2009]
%F A034262 a(n)=A002522(n)*A001477(n). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Apr 20 2008
%p A034262 with(combinat, fibonacci):seq(fibonacci(3,i)*i,i=0..38); - Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Mar 20 2008
%p A034262 with(combinat):seq(lcm(fibonacci(3,n),n),n=0..38); - Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Apr 20 2008
%p A034262 a:=n->sum(1+sum(n, k=1..n),k=1..n):seq(a(n), n=0...38); - Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Jun 11 2008
%Y A034262 Cf. A001477, A002522.
%Y A034262 Cf. A000290, A001477.
%Y A034262 Cf. A071253, A155977 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), 
               Feb 01 2009]
%Y A034262 Sequence in context: A047198 A162524 A065137 this_sequence A167214 A034827 
               A051667
%Y A034262 Adjacent sequences: A034259 A034260 A034261 this_sequence A034263 A034264 
               A034265
%K A034262 nonn
%O A034262 0,2
%A A034262 Stuart M. Ellerstein (ellerstein(AT)aol.com), Apr 21 2000