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 A195580 #11 Mar 11 2014 01:40:52 %S A195580 4,600,2600,15996,2460800,10652800,65552004,10084355800,43655173800, %T A195580 268632095996,41325687609600,178898891577600,1100854263840004, %U A195580 169352657739783000,733127614029833000,4511300504584239996,694007150091943126400 %N A195580 Denominators a(n) of Pythagorean approximations b(n)/a(n) to 4/5. %C A195580 See A195500 for a discussion and references. %t A195580 r = 4/5; z = 18; %t A195580 p[{f_, n_}] := (#1[[2]]/#1[[ %t A195580 1]] &)[({2 #1[[1]] #1[[2]], #1[[1]]^2 - #1[[ %t A195580 2]]^2} &)[({Numerator[#1], Denominator[#1]} &)[ %t A195580 Array[FromContinuedFraction[ %t A195580 ContinuedFraction[(#1 + Sqrt[1 + #1^2] &)[f], #1]] &, {n}]]]]; %t A195580 {a, b} = ({Denominator[#1], Numerator[#1]} &)[ %t A195580 p[{r, z}]] (* A195580, A195611 *) %t A195580 Sqrt[a^2 + b^2] (* A195612 *) %t A195580 (* _Peter J. C. Moses_, Sep 02 2011 *) %Y A195580 Cf. A195500, A195611, A195612. %K A195580 nonn %O A195580 1,1 %A A195580 _Clark Kimberling_, Sep 21 2011