Search: id:A077411
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%I A077411
%S A077411 7,11,59,103,583,1019,5771,10087,57127,99851,565499,988423,5597863,
%T A077411 9784379,55413131,96855367,548533447,958769291,5429921339,9490837543,
%U A077411 53750679943,93949606139,532076878091,930005223847,5267018100967
%N A077411 Combined Diophantine Chebyshev sequences A077409 and A077250.
%C A077411 a(n)^2 - 24*b(n)^2 = 25, with the companion sequence b(n)= A077410(n).
%H A077411 <a href="Sindx_Ch.html#Cheby">Index entries for sequences related to 
               Chebyshev polynomials.</a>
%F A077411 a(2*k)= A077409(k) and a(2*k+1)= A077250(k), k>=0.
%F A077411 a(n)= sqrt(24*A077410(n)^2 + 25).
%F A077411 G.f.: (1-x)*(7+18*x+7*x^2)/(1-10*x^2+x^4).
%e A077411 59 = a(2) = sqrt(24*A077410(2)^2 + 25) = sqrt(24*12^2 + 25)= sqrt(3481) 
               = 59.
%Y A077411 Sequence in context: A018508 A038277 A045462 this_sequence A085016 A067690 
               A061809
%Y A077411 Adjacent sequences: A077408 A077409 A077410 this_sequence A077412 A077413 
               A077414
%K A077411 nonn,easy
%O A077411 0,1
%A A077411 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Nov 08 
               2002

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