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 A244596 #7 Feb 16 2025 08:33:23 %S A244596 2,9,7,4,6,1,5,5,2,9,8,1,2,6,0,1,8,8,9,7,1,4,6,2,4,0,2,2,7,0,1,4,7,6, %T A244596 7,9,8,3,2,8,4,7,0,5,4,2,2,9,5,5,1,1,9,6,7,2,9,6,7,1,7,3,8,8,4,0,1,9, %U A244596 8,2,4,7,7,9,3,1,0,5,0,5,0,4,1,8,4,7,9,9,6,7,4,2,4,2,2,8,0,1,4,5,0,7,4 %N A244596 Decimal expansion of the coefficient D appearing in the asymptotic evaluation of P_a(n), the number of primitive Pythagorean triples whose area does not exceed a given bound n. %D A244596 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.2 Pythagorean Triple Constants, p. 277. %H A244596 Eric Weisstein's MathWorld, <a href="https://mathworld.wolfram.com/PrimitivePythagoreanTriple.html">Primitive Pythagorean Triple</a> %F A244596 P_a(n) = C*n^(1/2) - D*n^(1/3) + O(n^(1/4)*log(n)). %F A244596 D = -((1 + 1/2^(1/3))*zeta(1/3)/((1 + 1/4^(1/3))*zeta(4/3))). %e A244596 0.2974615529812601889714624022701476798328470542295511967296717388401982... %t A244596 -((1 + 1/2^(1/3))*Zeta[1/3]/((1 + 1/4^(1/3))*Zeta[4/3])) // RealDigits[#, 10, 103]& // First %Y A244596 Cf. A242439. %K A244596 nonn,cons,easy %O A244596 0,1 %A A244596 _Jean-François Alcover_, Jul 01 2014