cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A166169 a(n) = Lucas(n^2) = A000204(n^2) for n >= 1.

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%I A166169 #13 Sep 08 2022 08:45:48
%S A166169 1,7,76,2207,167761,33385282,17393796001,23725150497407,
%T A166169 84722519070079276,792070839848372253127,19386725908489881939795601,
%U A166169 1242282009792667284144565908482,208406472252232726621841472637412401
%N A166169 a(n) = Lucas(n^2) = A000204(n^2) for n >= 1.
%H A166169 Vincenzo Librandi, <a href="/A166169/b166169.txt">Table of n, a(n) for n = 1..35</a>
%F A166169 Logarithmic derivative of A166168.
%F A166169 a(n) = ((1 + sqrt(5))/2)^(n^2) + ((1 - sqrt(5))/2)^(n^2).
%F A166169 a(n) = Fibonacci(n^2 - 1) + Fibonacci(n^2 + 1).
%t A166169 Table[LucasL[n^2], {n, 1, 10}] (* _G. C. Greubel_, May 06 2016 *)
%o A166169 (PARI) a(n)=fibonacci(n^2-1)+fibonacci(n^2+1)
%o A166169 (Magma) [ Lucas(n^2) : n in [1..50]]; // _Vincenzo Librandi_, Apr 14 2011
%Y A166169 Cf. A166168, A000204, A000045.
%K A166169 nonn
%O A166169 1,2
%A A166169 _Paul D. Hanna_, Oct 08 2009