Search: id:A144927
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%I A144927
%S A144927 7,1162,128191,14100226,1550897047,170584575322,18762752388751,
%T A144927 2063732178187666,226991776848254887,24967031721129850282
%N A144927 Numbers n such that there exists an integer k with (n+1)^3-n^3=k^2.
%C A144927 Numbers x such that there exists an integer n with (x+7)^3-x^3=n^2. Richard 
               Choulet (richardchoulet(AT)yahoo.fr), Oct 16 2008
%F A144927 a(n+2)=110*a(n+1)-a(n)+378
%F A144927 a(n)=-(7/2)+(21/4)*{[55+12*sqrt(21)]^n+[55-12*sqrt(21))^n}+(7/6)*sqrt(21)*{[55+12*sqrt(21)]^n-[55-12*sqrt(21)\
               ]^n}, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 25 2008]
%e A144927 a(1)=7 because 14^3-7^3=49^2
%Y A144927 Cf. A144928.
%Y A144927 A144928, A144930, A144929 [From Richard Choulet (richardchoulet(AT)yahoo.fr), 
               Oct 16 2008]
%Y A144927 Sequence in context: A004807 A139781 A101072 this_sequence A159994 A119181 
               A152518
%Y A144927 Adjacent sequences: A144924 A144925 A144926 this_sequence A144928 A144929 
               A144930
%K A144927 easy,nonn
%O A144927 1,1
%A A144927 Richard Choulet (richardchoulet(AT)yahoo.fr), Sep 25 2008

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