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.

A177738 a(n) = floor( (x^n - x^(-n)) / (x - x^(-1)) ) where x = Pi-2.

This page as a plain text file.
%I A177738 #12 Feb 22 2022 14:47:51
%S A177738 0,1,2,3,4,5,6,8,9,11,13,15,17,20,23,26,30,35,40,46,52,60,69,78,90,
%T A177738 103,117,134,153,175,199,228,260,297,339,387,442,505,576,658,751,858,
%U A177738 979,1118,1277,1457,1664,1900,2169,2476,2826
%N A177738 a(n) = floor( (x^n - x^(-n)) / (x - x^(-1)) ) where x = Pi-2.
%C A177738 The ratio a(n+1)/a(n) approaches Pi-2 as n approaches infinity, and is lower than even Salem polynomial expansions based on A073011.
%C A177738 The idea is the emulation of quadratic beta integer domains using a transcendental number base with a ratio below A073011.
%H A177738 G. C. Greubel, <a href="/A177738/b177738.txt">Table of n, a(n) for n = 0..1000</a>
%t A177738 Clear[a, n, b]; b = Pi - 2; a[n_] = (b^n - b^(-n))/(b - b^(-1));
%t A177738 Table[Floor[a[n]], {n, 0, 50}]
%Y A177738 Cf. A073011, A029826, A000796.
%K A177738 nonn
%O A177738 0,3
%A A177738 _Roger L. Bagula_, May 12 2010
%E A177738 Undefined terminology removed from the definition - The Assoc. Eds. of the OEIS, May 14 2010