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

3,3

Comments

It is assumed that each of the three darts scores.

Links

Table of n, a(n) for n=3..180.

Wikipedia, Darts

Example

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.

Crossrefs

Cf. A241746, A242681, A242717, A242718.

Sequence in context: A034161 A034162 A034163 * A034092 A211540 A001399

Adjacent sequences: A242675 A242676 A242677 * A242679 A242680 A242681

Keyword

nonn,fini,full

Author

Colin Barker, May 20 2014

Status

approved