A128310 List of maximal breaks in generalized snooker.

5, 9, 11, 14, 17, 20, 24, 27, 29, 32, 35, 39, 41, 44, 45, 47, 50, 51, 54, 59, 62, 65, 74, 75, 77, 84, 86, 87, 89, 90, 101, 104, 107, 110, 114, 116, 117, 119, 120, 125, 132, 135, 137, 140, 144, 147, 149, 152, 155, 164, 167, 170, 174, 182, 185, 186, 189, 194, 195, 200

Offset: 1

Author

Jonas Wallgren, May 04 2007

Keywords

• nonn

Comments

Given A000217(R) red balls and C colored balls. For every red ball 1 point for it and C+1 points for the highest colored ball, followed by 2+3+4+... points for all colored balls. This sequence contains all numbers on the form A000217(R)*(C+2)+A000217(C+1)-1, R>0, C>0 (sorted, duplicates removed).

Examples

			Let R=2 (1 point each) and C=3 (2, 3 and 4 (call that one black) points). The sequence red-black-red-black-red-black-2-3-black gives 24 points. Thus 24 is an element in this sequence.