A352422 - OEIS

A352422

Number of points available in a frame of snooker when there are n object balls remaining on the table.

0, 7, 13, 18, 22, 25, 27, 35, 43, 51, 59, 67, 75, 83, 91, 99, 107, 115, 123, 131, 139, 147

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..21.

EXAMPLE

For n=7 there are 35 points on the table.

6 of these object balls are the non-reds and are worth a total of 27 points (2 for yellow, 3 for green, 4 for brown, 5 for blue, 6 for pink, 7 for black). The remaining red ball has a potential value of 8 points if its potting is followed by a potting of the black. 27 + 8 * 1 = 27 + 8 = 35

MATHEMATICA

Table[If[n <= 15, 147 - 8*n, 27 - (n - 15)*(n - 12)/2], {n, 0, 21}] // Reverse (* Vaclav Kotesovec, May 04 2022, adapted to changed data May 11 2022 *)

CROSSREFS

Cf. A180158, A128310, A241263.

Sequence in context: A250288 A214785 A005762 * A212454 A266731 A104995

Adjacent sequences: A352419 A352420 A352421 * A352423 A352424 A352425

KEYWORD

nonn,fini,full

AUTHOR

Stephen Cronin, Apr 25 2022

STATUS

approved