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.

A145276 a(n) = A145233(n+1)/A145233(n).

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%I A145276 #9 Oct 23 2024 14:39:17
%S A145276 1866294,41473935220454958813340461622291147206
%N A145276 a(n) = A145233(n+1)/A145233(n).
%C A145276 A member of the family of sequences of type:
%C A145276 (G^(k^(n + 1)) - (1 - G)^(k^(n + 1)))/(G^(k^n) - (1 - G)^(k^n)) where G = (1 + sqrt(5))/2.
%C A145276 For k=2 see A001566.
%C A145276 For k=3 see A002814(n+2).
%C A145276 For k=4 see A145274.
%C A145276 For k=5 see A145275.
%C A145276 For k=6 see this sequence.
%C A145276 For k=7 see A145277.
%H A145276 Amiram Eldar, <a href="/A145276/b145276.txt">Table of n, a(n) for n = 1..3</a>
%F A145276 a(n) = (G^(6^(n + 1)) - (1 - G)^(6^(n + 1)))/(G^(6^n) - (1 - G)^(6^n)) where G = (1 + sqrt(5))/2.
%t A145276 G = (1 + Sqrt[5])/2; Table[Expand[(G^(6^(n + 1)) - (1 - G)^(6^(n + 1)))/Sqrt[5]]/Expand[(G^(6^n) - (1 - G)^(6^n))/Sqrt[5]], {n, 1, 5}]
%Y A145276 Cf. A001566, A001622, A002814, A145233, A145274, A145275, A145277.
%K A145276 nonn,bref
%O A145276 1,1
%A A145276 _Artur Jasinski_, Oct 06 2008