|
%I
%S 31,31935859,32900002583179,33893253661133238151,
%T 34916490989129950608195511,35970619852057890563395800238939,
%U 37056572865356601788515589497544372899
%N Numbers n such that there exists x in N : (x+1)^3-x^3=67*n^2
%F a(n+2)=1030190*a(n+1)-a(n)
%F a(n)=(31/2)*{[515095+124*sqrt(17255649)]^n+[515095-124*sqrt(17255649)]^n}-(1/268)*sqrt(17255649)*{[515095-124 *sqrt(17255649)]^n-[515095+124*sqrt(17255649)]^n}, with n>=0 [From _Paolo P. Lava_, Nov 25 2008]
%e the first relation is : 147^3-146^3=67*31^2
%K easy,nonn
%O 1,1
%A _Richard Choulet_, Oct 04 2008
| 