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

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

Offset: 3

Author

Colin Barker, May 20 2014

Keywords

• nonn
• fini
• full

Comments

It is assumed that each of the three darts scores.

Examples

			a(3) = 1 because the only possible throw is (1,1,1).
a(6) = 3 because possible throws are (1,1,4), (1,2,3) and (2,2,2).
a(163) = 0 because it is not possible to get a score of 163.
		

Links

• Wikipedia, Darts

Crossrefs

Cf. A241746, A242681, A242717, A242718.