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The number of ways that a score of n can be obtained using four darts on a standard dartboard.
4

%I #17 May 22 2014 09:02:10

%S 1,1,2,3,5,6,9,11,15,18,23,27,34,39,47,54,64,72,84,94,108,120,135,149,

%T 167,182,202,220,241,261,284,305,331,354,380,406,434,460,491,519,550,

%U 581,613,643,679,709,743,777,811,843,882,913,951,986,1022,1054

%N The number of ways that a score of n can be obtained using four darts on a standard dartboard.

%C It is assumed that each of the four darts scores.

%H Colin Barker, <a href="/A242717/b242717.txt">Table of n, a(n) for n = 4..240</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Darts">Darts</a>

%e a(4) = 1 because the only possible throw is (1,1,1,1).

%e a(7) = 3 because possible throws are (1,1,1,4), (1,1,2,3) and (1,2,2,2).

%e a(223) = 0 because it is not possible to get a score of 223.

%Y Cf. A241746, A242678, A242681, A242718.

%K nonn,fini,full

%O 4,3

%A _Colin Barker_, May 21 2014