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A114603 Decimal expansion of constant appearing in asymptotic variance of estimator for pi in the Buffon-Laplace needle problem on a triangular grid with l/d=1. 0
0, 1, 5, 7, 6, 5, 8, 6, 3, 7, 3, 0, 3, 0, 4, 4, 2, 1, 6, 6, 7, 5, 6, 4, 9, 9, 4, 6, 5, 1, 1, 1, 7, 1, 8, 5, 3, 4, 3, 9, 7, 4, 1, 3, 8, 3, 7, 7, 2, 2, 4, 6, 0, 9, 4, 3, 3, 6, 0, 3, 6, 0, 0, 6, 9, 6, 8, 8, 4, 9, 8, 3, 5, 1, 0, 6, 2, 8, 6, 2, 2, 5, 8, 2, 0, 9, 9, 6, 5, 1, 0, 9, 5, 4, 4, 0, 0, 8, 8, 7, 8, 0, 0 (list; constant; graph; refs; listen; history; internal format)
OFFSET

0,3

LINKS

Eric Weisstein's World of Mathematics, Buffon-Laplace Needle Problem

FORMULA

(2*(3*Sqrt[3] - 4*Pi)*(3*Sqrt[3] - Pi)*Pi^2*(-8 + Sqrt[3] + 2*Pi)*(-24 + 3*Sqrt[3] + 5*Pi))/(3*(-3618 + 864*Sqrt[3] + 828*Pi + 354*Sqrt[3]*Pi - 269*Pi^2 + 32*Sqrt[3]*Pi^2))

EXAMPLE

0.0157658637...

CROSSREFS

Sequence in context: A196615 A198730 A195444 * A100554 A193013 A200097

Adjacent sequences:  A114600 A114601 A114602 * A114604 A114605 A114606

KEYWORD

nonn,cons,easy

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Dec 14, 2005

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.