A242717 The number of ways that a score of n can be obtained using four darts on a standard dartboard.

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

Author

Colin Barker, May 21 2014

Keywords

• nonn
• fini
• full

Comments

It is assumed that each of the four darts scores.

Examples

			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.
		

Links

• Colin Barker, Table of n, a(n) for n = 4..240
• Wikipedia, Darts

Crossrefs

Cf. A241746, A242678, A242681, A242718.