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.

A244257 Decimal expansion of the asymptotic evaluation of the constrained maximum of a certain quadratic form.

This page as a plain text file.
%I A244257 #5 Jun 24 2014 04:21:25
%S A244257 2,3,9,7,9,4,5,5,8,6,1,1,4,4,3,6,3,3,7,4,0,6,1,3,9,3,7,8,9,0,6,0,6,6,
%T A244257 0,5,5,8,8,0,8,2,3,4,0,0,1,5,7,6,3,1,1,6,0,3,1,1,1,4,9,9,7,9,3,5,1,9,
%U A244257 1,3,6,8,6,7,9,7,6,4,5,1,9,8,5,5,7,4,8,7,9,1,1,9,5,9,4,3,3,3,7,7
%N A244257 Decimal expansion of the asymptotic evaluation of the constrained maximum of a certain quadratic form.
%C A244257 The quadratic form to maximize is (sum_(k>=1) x(k)/k)^2 + sum_(k>=1) (x(k)/k)^2, subject to the constraint (sum_(k>=1) x(k)^2) <= 1.
%D A244257 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 3.12 Du Bois Reymond's constants, p. 239.
%F A244257 (Pi/xi)^2, where xi is the smallest positive solution of the equation x+tan(x)=0.
%e A244257 2.397945586114436337406139378906...
%t A244257 xi = x /. FindRoot[x + Tan[x] == 0, {x, 2}, WorkingPrecision -> 100]; RealDigits[(Pi/xi)^2] // First
%Y A244257 Cf. A196504.
%K A244257 nonn,cons,easy
%O A244257 1,1
%A A244257 _Jean-François Alcover_, Jun 24 2014