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
Offset: 0
Examples
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
Programs
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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 *)