A128310 - OEIS

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

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OFFSET

1,1

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).

LINKS

Table of n, a(n) for n=1..60.

EXAMPLE

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.

CROSSREFS

Sequence in context: A179383 A076195 A191924 * A314586 A314587 A314588

Adjacent sequences: A128307 A128308 A128309 * A128311 A128312 A128313

KEYWORD

nonn

AUTHOR

Jonas Wallgren, May 04 2007

STATUS

approved