%I A084703
%S A084703 0,4,144,4900,166464,5654884,192099600,6525731524,221682772224,
%T A084703 7530688524100,255821727047184,8690408031080164,295218051329678400,
%U A084703 10028723337177985444,340681375412721826704,11573138040695364122500
%N A084703 Squares n such that 2n+1 is also a square.
%C A084703 a(n) = 4*A001110(n).
%C A084703 With the exception of 0, a subsequence of A075114. [From R. J. Mathar 
               (mathar(AT)strw.leidenuniv.nl), Dec 15 2008]
%F A084703 a(n+1) = A001652(n)*A001652(n+1) + A046090(n)*A046090(n+1) = A001542(n+1)^2 
               - Charlie Marion (charliem(AT)bestweb.net), Jul 01 2003
%F A084703 For k>=n>=0, a(n) = A001653(k+n)*A001653(k-n) - A001653(k)^2; e.g. 144 
               = 5741*5 - 169^2 - Charlie Marion (charliem(AT)bestweb.net), Jul 
               16 2003
%F A084703 G.f.: 4x(1+x)/((1-x)(1-34x+x^2)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Dec 15 2008]
%t A084703 a[0] = 0; a[1] = 1; a[n_] := 34a[n - 1] - a[n - 2] + 2; Table[ 4a[n], 
               {n, 0, 15}]
%Y A084703 Cf. A084702, A001110.
%Y A084703 a(n)=A001542(n)^2
%Y A084703 Sequence in context: A134631 A036511 A060870 this_sequence A122747 A069135 
               A138176
%Y A084703 Adjacent sequences: A084700 A084701 A084702 this_sequence A084704 A084705 
               A084706
%K A084703 nonn
%O A084703 0,2
%A A084703 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 08 2003
%E A084703 Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 15 
               2003