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%I #26 Feb 22 2023 18:31:49
%S 1,20,210,1540,8855,42504,177100,657800,2220075,6906900,20030010,
%T 54627084,141116637,347336412,818558424,1854631380,4053948342,
%U 8574134256,17590903116,35084425512,68153183370,129156542039
%N Number of possible games of 10-pin bowling with a total score of n.
%D Cooper, C. N. and Kennedy, R. E., Is the Mean Bowling Score Awful?, J. Rec. Math., 18(3) (1985-1986), pages ?.
%D 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.
%D 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.
%H Lee A. Newberg, <a href="/A060853/b060853.txt">Table of n, a(n) for n=0..300</a> (full sequence)
%H Balmoral Software, <a href="http://www.balmoralsoftware.com/bowling/bowling.htm">All About Bowling Scores</a>, 2005,
%H Curtis Cooper and Robert E. Kennedy, <a href="http://www.jstor.org/stable/2690945">A Generating Function for the Distribution of the Scores of All Possible Bowling Games</a>, Mathematics Magazine, Vol. 63, (No. 4, 1990), pp. 239-243.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Bowling.html">Bowling</a>.
%H <a href="/index/Bo#bowling">Index entries for sequences related to bowling</a>
%e The final terms are a(290) = 11, a(291) = ... = a(300) = 1 (see A079596).
%Y Cf. A010972, A079596.
%K nonn,fini,full,easy
%O 0,2
%A Micah Friese (friesem(AT)stolaf.edu), May 03 2001
%E n = 77 peak value corrected by _Lee A. Newberg_, Oct 30 2009
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