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A242717
The number of ways that a score of n can be obtained using four darts on a standard dartboard.
4
1, 1, 2, 3, 5, 6, 9, 11, 15, 18, 23, 27, 34, 39, 47, 54, 64, 72, 84, 94, 108, 120, 135, 149, 167, 182, 202, 220, 241, 261, 284, 305, 331, 354, 380, 406, 434, 460, 491, 519, 550, 581, 613, 643, 679, 709, 743, 777, 811, 843, 882, 913, 951, 986, 1022, 1054
OFFSET
4,3
COMMENTS
It is assumed that each of the four darts scores.
LINKS
Wikipedia, Darts
EXAMPLE
a(4) = 1 because the only possible throw is (1,1,1,1).
a(7) = 3 because possible throws are (1,1,1,4), (1,1,2,3) and (1,2,2,2).
a(223) = 0 because it is not possible to get a score of 223.
CROSSREFS
KEYWORD
nonn,fini,full
AUTHOR
Colin Barker, May 21 2014
STATUS
approved