A241263 -id:A241263 - cp's OEIS frontend

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

Stephen Cronin, Apr 25 2022

			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

Cf. A180158, A128310, A241263.

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 *)

A356948 Sequence of scores adding to maximum break in snooker.

Original entry on oeis.org

1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 2, 3, 4, 5, 6, 7

Offset: 1

William B. Faulk, Sep 05 2022

Since there are only 15 red balls, it is obvious that this is maximal and unique. The total is 147, the highest possible break. Ronnie O'Sullivan took only five minutes and 27 seconds to make this break at the 1997 World Championship. This is "easy" only if you are the world champion. - N. J. A. Sloane, Oct 15 2022

Ronnie O'Sullivan, Break of 147 that broke the world record, 2008 [Youtube]
Ronnie O'Sullivan, Break of 147 in six minutes on October 5, 2019 [Youtube]

First difference of A241263.

for i in range(15):
    print(1)
    print(7)
for i in range(2, 8):
    print(i)

Added two videos showing Ronnie O'Sullivan, one of the greatest players of all time. - N. J. A. Sloane, Oct 16 2022

cp's OEIS Frontend

A352422 Number of points available in a frame of snooker when there are n object balls remaining on the table.

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A356948 Sequence of scores adding to maximum break in snooker.

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