A060853 Number of possible games of 10-pin bowling with a total score of n.

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.

Index entries for sequences related to bowling

Example

The final terms are a(290) = 11, a(291) = ... = a(300) = 1 (see A079596).

Crossrefs

Cf. A010972, A079596.

Sequence in context: A353895 A353884 A162640 * A010972 A126905 A341236

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