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A121403 Decimal expansion of the area of home plate (USA major league baseball) in square inches. 2
2, 1, 6, 4, 9, 9, 5, 6, 5, 9, 7, 0, 9, 1, 4, 0, 1, 9, 1, 1, 4, 7, 4, 0, 2, 5, 9, 1, 0, 0, 6, 0, 5, 5, 8, 5, 4, 4, 9, 6, 7, 6, 5, 6, 6, 3, 5, 1, 0, 5, 4, 3, 6, 0, 9, 1, 9, 7, 4, 1, 4, 3, 1, 0, 8, 7, 1, 2, 6, 1, 7, 6, 2, 1, 6, 9, 3, 3, 0, 9, 6, 2, 3, 9, 9, 4, 1, 7, 3, 2, 5, 3, 9, 1, 1, 7, 6, 3, 2, 9, 9, 8, 1, 0, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

3,1

COMMENTS

The home plate in baseball is an irregular pentagon with edge lengths in inches (8.5, 17, 8.5, 12, 12), incorrectly shown in Kreutzer as having 3 right angles. The area of home plate in square inches is thus the area of the 8.5*17 rectangle plus the area of the (12,12,17) isosceles triangle. The latter is (17/2)*sqrt(12^2 - (17^2)/4)) = (17/4)*sqrt(287), which is a near-integer, 71.999565, because the angle is so close to a right angle. Hence the home plate area is approximately 216.49956 square inches, which is coincidentally close to (6^3) + 1/2. [High-precision calculation by T. D. Noe from the exact solution in this comment.]

REFERENCES

Kreutzer, P. and Kerley, T., Little League's Official How-to-Play Baseball Book. New York: Doubleday, 1990.

LINKS

Table of n, a(n) for n=3..107.

M. J. Bradley, Building Home Plate: Field of Dreams or Reality?, Math. Mag. 69, 44-45, 1996.

Eric Weisstein's World of Mathematics, Home Plate

Eric Weisstein's World of Mathematics, Isosceles Triangle

EXAMPLE

216.4995659709...

CROSSREFS

Sequence in context: A021466 A286259 A257134 * A155550 A268754 A005299

Adjacent sequences:  A121400 A121401 A121402 * A121404 A121405 A121406

KEYWORD

cons,easy,nonn

AUTHOR

Jonathan Vos Post, Sep 06 2006

STATUS

approved

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Last modified May 7 23:48 EDT 2021. Contains 343652 sequences. (Running on oeis4.)