A096428 Decimal expansion of (4*sqrt(2)*Pi^2)/gamma(1/4)^2.

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

Offset

1,1

Comments

Asymptotic constant in the expected perimeter of square point picking.

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 8.1 Geometric Probability Constants, p. 481.

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Square Point Picking

Example

4.247296545963878651221513149595788524022238578931556848162...

Mathematica

RealDigits[(4*Sqrt[2]*Pi^2)/Gamma[1/4]^2, 10, 100][[1]] (* G. C. Greubel, Sep 27 2018 *)

Prog

(PARI) (4*sqrt(2)*Pi^2)/gamma(1/4)^2 \\ Michel Marcus, Jun 26 2014
(Magma) SetDefaultRealField(RealField(100)); R:= RealField(); 4*Sqrt(2)*Pi(R)^2/Gamma(1/4)^2; // G. C. Greubel, Sep 27 2018

Crossrefs

Cf. A097060.

Sequence in context: A236187 A114566 A013679 * A091007 A180156 A110638

Adjacent sequences: A096425 A096426 A096427 * A096429 A096430 A096431

Keyword

nonn,cons,changed

Author

Eric W. Weisstein, Jul 21 2004

Status

approved