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A119465
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Consider the standard game of Nim with 3 heaps and make a list of the losing positions (x,y,z) with x <= y <= z sorted by sum, ties broken by putting smallest value of x first, then y, then z; sequence gives y values.
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5
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0, 1, 2, 3, 2, 4, 5, 4, 6, 4, 7, 6, 5, 4, 5, 8, 9, 8, 10, 8, 11, 10, 9, 8, 9, 12, 8, 13, 12, 9, 8, 9, 14, 12, 10, 8, 10, 15, 14, 13, 12, 13, 11, 10, 11, 9, 11, 8, 9, 10, 11, 16, 17, 16, 18, 16, 19, 18, 17, 16, 17, 20, 16, 21, 20, 17, 16, 17, 22, 20, 18, 16, 18, 23, 22, 21, 20, 21, 19, 18
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Thanks to Ray Chandler (rayjchandler(AT)sbcglobal.net) for help in clarifying the relation between this sorted list and the one in A080594.
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EXAMPLE
| The triples with sum <= 20 (this sequence is the second column) are:
0 0 0
0 1 1
0 2 2
0 3 3
1 2 3
0 4 4
0 5 5
1 4 5
0 6 6
2 4 6
0 7 7
1 6 7
2 5 7
3 4 7
3 5 6
0 8 8
0 9 9
1 8 9
0 10 10
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CROSSREFS
| A119464, A119466 give the x and z values; A080593, A080594, A080595 give the same values sorted in a different way.
Sequence in context: A172520 A161908 A026358 * A090321 A174625 A178853
Adjacent sequences: A119462 A119463 A119464 * A119466 A119467 A119468
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KEYWORD
| easy,nonn
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AUTHOR
| Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 21 2006
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