%I A077410
%S A077410 1,2,12,21,119,208,1178,2059,11661,20382,115432,201761,1142659,1997228,
%T A077410 11311158,19770519,111968921,195707962,1108378052,1937309101,
%U A077410 10971811599,19177383048,108609737938
%N A077410 Combined Diophantine Chebyshev sequences A077249 and A077251.
%C A077410 -24*a(n)^2 + b(n)^2 = 25, with the companion sequence b(n)= A077411(n).
%H A077410 <a href="Sindx_Ch.html#Cheby">Index entries for sequences related to 
               Chebyshev polynomials.</a>
%F A077410 a(2*k)= A077251(k) and a(2*k+1)= A077249(k), k>=0.
%F A077410 a(n)= sqrt((A077411(n)^2 - 25)/24).
%F A077410 G.f.: (1+x)*(1+x+x^2)/(1-10*x^2+x^4).
%e A077410 24*a(2)^2 + 25 = 24*12^2 + 25 = 3481 = 59^2 = A077411(2)^2.
%Y A077410 Sequence in context: A053890 A053896 A155890 this_sequence A063599 A163479 
               A017293
%Y A077410 Adjacent sequences: A077407 A077408 A077409 this_sequence A077411 A077412 
               A077413
%K A077410 nonn,easy
%O A077410 0,2
%A A077410 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Nov 08 
               2002