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A242678 The number of ways that a score of n can be obtained using three darts on a standard dartboard. 4

%I #11 May 22 2014 04:55:30

%S 1,1,2,3,4,5,7,8,10,12,14,16,19,21,24,27,30,33,37,40,44,48,51,55,59,

%T 63,67,72,75,80,83,88,91,97,99,105,107,113,115,122,123,130,131,137,

%U 138,144,144,150,150,156,157,163,163,169,168,173,173,178,178,183,181,185,184,188,187,191,188,191,188,190,188,190,185,188,184,185,182,183,177,179,172,173,169,169,161,164,155,157,152,152,144,147,135,138,132,131,124,127,115,120,112,111,105,107,93,100,92,90,87,87,74,83,73,71,71,68,56,66,55,53,55,50,41,52,39,38,42,35,27,39,26,26,32,23,18,29,16,18,23,14,11,21,9,11,17,8,7,16,4,7,12,4,4,10,2,4,8,2,2,7,0,2,5,0,1,4,0,1,3,0,0,2,0,0,1,0,0,1

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

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

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

%e a(3) = 1 because the only possible throw is (1,1,1).

%e a(6) = 3 because possible throws are (1,1,4), (1,2,3) and (2,2,2).

%e a(163) = 0 because it is not possible to get a score of 163.

%Y Cf. A241746, A242681, A242717, A242718.

%K nonn,fini,full

%O 3,3

%A _Colin Barker_, May 20 2014

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Last modified May 15 06:57 EDT 2024. Contains 372538 sequences. (Running on oeis4.)