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

4,3

Comments

It is assumed that each of the four darts scores.

Links

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

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

Cf. A241746, A242678, A242681, A242718.

Sequence in context: A341868 A342497 A028309 * A026810 A001400 A350897

Adjacent sequences: A242714 A242715 A242716 * A242718 A242719 A242720

Keyword

nonn,fini,full

Author

Colin Barker, May 21 2014

Status

approved