A020993 List of scores that can be achieved with four darts all of which hit a dartboard with regions labeled 1, 5, 10, 25.

100, 85, 80, 76, 70, 65, 61, 60, 56, 55, 52, 50, 46, 45, 41, 40, 37, 36, 35, 32, 31, 30, 28, 26, 25, 22, 21, 20, 17, 16, 13, 12, 8, 4

Offset

0,1

Comments

Seen on a list of puzzles circa 1998. The explanation was supplied by Antonio G. Astudillo, Nov 24 2011.

References

Tom Bassarear, Mathematics for Elementary School Teachers, Houghton Mifflin Company, 2007, 4th ed. (see Exercise 15 on page 55 and its solution on page A-5). - From Antonio G. Astudillo.

Links

Table of n, a(n) for n=0..33.

Antonio G. Astudillo, The dartboard

Mathematica

Reverse[Union[Total/@Tuples[{1, 5, 10, 25}, 4]]] (* Harvey P. Dale, Oct 25 2020 *)

Crossrefs

Sequence in context: A180102 A242615 A090292 * A115020 A169735 A096582

Adjacent sequences: A020990 A020991 A020992 * A020994 A020995 A020996

Keyword

fini,full,nonn

Author

N. J. A. Sloane.

Status

approved