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.
Approximations to 2^(1/3): n = 1: 4/3 = 1.33333...; error = 0.07341... n = 2: 91/72 = 1.26388...; error = 0.00396... n = 3: 1126819/894348 = 1.25993...; error = 0.00001... ...
Approximations to 2^(1/3): n = 1: 5/4 = 1.25; error = -0.00992104... n = 2: 635/504 = 1.2599206...; error = -0.00000041... n = 3: 487771523185/387144514512 = 1.2599210...; error = -3.001136... * 10^-20.
{a=1; b=1; print1(b, ", "); for(n=1, 5, x=a*(a^3+4*b^3); y=2*b*(a^3+b^3); a=x/gcd(x, y); b=y/gcd(x, y); print1(a, ", "))}
Approximations to 2^(1/3): n = 1: 5/4 = 1.25; error = -0.00992104... n = 2: 635/504 = 1.2599206...; error = -0.00000041... n = 3: 487771523185/387144514512 = 1.2599210...; error = -3.001136... * 10^-20.
{a=1; b=1; print1(b, ", "); for(n=1, 5, x=a*(a^3+4*b^3); y=2*b*(a^3+b^3); a=x/gcd(x, y); b=y/gcd(x, y); print1(b, ", "))}
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