

A060853


Number of possible games of 10pin bowling with a total score of n.


4



1, 20, 210, 1540, 8855, 42504, 177100, 657800, 2220075, 6906900, 20030010, 54627084, 141116637, 347336412, 818558424, 1854631380, 4053948342, 8574134256, 17590903116, 35084425512, 68153183370, 129156542039
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OFFSET

0,2


REFERENCES

Cooper, C. N. and Kennedy, R. E., Is the Mean Bowling Score Awful?, J. Rec. Math., 18(3) (19851986), pages ?.
Cooper, C. N. and Kennedy, R. E. "A Generating Function for the Distribution of the Scores of All Possible Bowling Games." Reprinted in The Lighter Side of Mathematics (Ed. R. K. Guy and R. E. Woodrow). Washington, DC: Math. Assoc. Amer., 1994.
Cooper, C. N. and Kennedy, R. E. "Is the Mean Bowling Score Awful?" Reprinted in The Lighter Side of Mathematics (Ed. R. K. Guy and R. E. Woodrow). Washington, DC: Math. Assoc. Amer., 1994.


LINKS

Lee A. Newberg, Table of n, a(n) for n=0..300 (full sequence)
Balmoral Software, All About Bowling Scores, 2005,
Curtis Cooper and Robert E. Kennedy, A Generating Function for the Distribution of the Scores of All Possible Bowling Games, Mathematics Magazine, Vol. 63, (No. 4, 1990), pp. 239243.
Eric Weisstein's World of Mathematics, Bowling.


EXAMPLE

The final terms are a(290) = 11, a(291) = ... = a(300) = 1.


CROSSREFS

Cf. A010972.
Sequence in context: A139620 A094311 A162640 * A010972 A126905 A022585
Adjacent sequences: A060850 A060851 A060852 * A060854 A060855 A060856


KEYWORD

nonn,fini,full,easy


AUTHOR

Micah Friese (friesem(AT)stolaf.edu), May 03 2001


EXTENSIONS

n = 77 peak value corrected by Lee A. Newberg, Oct 30 2009


STATUS

approved



