A242439 Decimal expansion of the coefficient C used in the asymptotic evaluation of the number of primitive Pythagorean triangles with area less than n, as C*sqrt(n).

5, 3, 1, 3, 3, 9, 9, 4, 9, 9, 5, 8, 4, 2, 1, 8, 2, 5, 5, 9, 1, 2, 4, 5, 0, 9, 7, 5, 5, 2, 2, 5, 6, 0, 4, 5, 5, 3, 1, 2, 7, 4, 9, 5, 9, 1, 6, 3, 0, 1, 0, 3, 4, 7, 1, 2, 0, 5, 2, 7, 4, 3, 7, 0, 3, 6, 6, 9, 8, 0, 5, 5, 6, 3, 5, 9, 1, 1, 4, 1, 8, 3, 7, 0, 1, 4, 9, 5, 4, 6, 8, 6, 0, 2, 0, 3, 1, 8, 7, 2

Offset: 0

Author

Jean-François Alcover, May 14 2014

Keywords

• nonn
• cons

Examples

			0.531339949958421825591245097552256...
		

References

• Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, p. 277.

Links

• Eric Weisstein's MathWorld, Primitive Pythagorean Triple

Crossrefs

Cf. A118858.

Programs

Mathematica

RealDigits[1/Sqrt[2*Pi^5]*Gamma[1/4]^2 , 10, 100] // First

Formula

(1/sqrt(2*Pi^5))*GAMMA(1/4)^2.