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.
%I A145277 #9 Oct 23 2024 16:33:19
%S A145277 598364773,
%T A145277 27692759465311176949233529747775189817301578781117871380248013
%N A145277 a(n) = A145234(n+1)/A145234(n).
%C A145277 A member of the family of sequences of type:
%C A145277 (G^(k^(n + 1)) - (1 - G)^(k^(n + 1)))/(G^(k^n) - (1 - G)^(k^n)) where G = (1 + sqrt(5))/2
%C A145277 For k=2 see A001566.
%C A145277 For k=3 see A002814(n+2).
%C A145277 For k=4 see A145274.
%C A145277 For k=5 see A145275.
%C A145277 For k=6 see A145276.
%C A145277 For k=7 see this sequence.
%H A145277 Amiram Eldar, <a href="/A145277/b145277.txt">Table of n, a(n) for n = 1..3</a>
%F A145277 a(n) = (G^(7^(n + 1)) - (1 - G)^(7^(n + 1)))/(G^(7^n) - (1 - G)^(7^n)) where G = (1 + sqrt(5))/2.
%t A145277 G = (1 + Sqrt[5])/2; Table[Expand[(G^(7^(n + 1)) - (1 - G)^(7^(n + 1)))/Sqrt[5]]/Expand[(G^(7^n) - (1 - G)^(7^n))/Sqrt[5]], {n, 1, 5}]
%Y A145277 Cf. A001566, A001622, A002814, A145234, A145274, A145275, A145276.
%K A145277 nonn,bref
%O A145277 1,1
%A A145277 _Artur Jasinski_, Oct 06 2008