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.

A377849 Decimal expansion of the real root of x^3 + 2*x^2 - phi^2, where phi is the golden ratio (A001622).

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%I A377849 #14 Feb 10 2025 08:41:11
%S A377849 9,4,3,1,5,1,2,5,9,2,4,3,8,8,1,8,1,7,1,2,6,7,1,9,8,9,2,5,7,0,3,6,4,1,
%T A377849 5,9,4,0,6,6,5,0,3,8,6,2,3,4,5,3,4,7,0,4,6,0,4,8,9,1,2,8,5,3,9,0,3,3,
%U A377849 6,0,8,4,8,5,9,4,9,1,8,4,4,7,4,6,7,4,4,0,9,0
%N A377849 Decimal expansion of the real root of x^3 + 2*x^2 - phi^2, where phi is the golden ratio (A001622).
%C A377849 Ratio of the midradius of a snub dodecahedron to the midradius of the icosahedron in which it is inscribed (see Wikipedia article).
%H A377849 Wikipedia, <a href="https://en.wikipedia.org/wiki/Snub_dodecahedron">Snub dodecahedron</a>.
%H A377849 <a href="/index/Al#algebraic_06">Index entries for algebraic numbers, degree 6</a>.
%F A377849 Equals the real root closest to 1 of x^6 + 4*x^5 + 4*x^4 - 3*x^3 - 6*x^2 + 1.
%e A377849 0.94315125924388181712671989257036415940665038623453...
%t A377849 First[RealDigits[Root[#^3 + 2*#^2 - GoldenRatio^2 &, 1], 10,100]]
%o A377849 (PARI) polrootsreal(x^6 + 4*x^5 + 4*x^4 - 3*x^3 - 6*x^2 + 1)[4] \\ _Charles R Greathouse IV_, Feb 10 2025
%Y A377849 Cf. A001622, A377805, A377806, A377807.
%K A377849 nonn,cons,easy
%O A377849 0,1
%A A377849 _Paolo Xausa_, Nov 09 2024