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A060853
Number of possible games of 10-pin 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
OFFSET
0,2
REFERENCES
Cooper, C. N. and Kennedy, R. E., Is the Mean Bowling Score Awful?, J. Rec. Math., 18(3) (1985-1986), 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. 239-243.
Eric Weisstein's World of Mathematics, Bowling.
EXAMPLE
The final terms are a(290) = 11, a(291) = ... = a(300) = 1 (see A079596).
CROSSREFS
Sequence in context: A353895 A353884 A162640 * A010972 A126905 A341236
KEYWORD
nonn,fini,full,easy,changed
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