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例子
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三角形开始:
2,
2, 4,
2, 12, 10,
2、16、70、32,
2, 20, 134, 442, 122,
2, 24, 198, 1164, 3108, 544,
2, 28, 274, 2048, 10982, 24216, 2770,
2, 32, 362, 3204, 22468, 112354, 208586, 15872, ...
例如,行“2,12,10”表示有两种排列[1..4],其中最长的向上或向下行程长度为4,最长的行程长度为3,最长行程长度为2。
下表由计算得出肖恩·欧文2012年5月2日,给出了三角形的扩展版本,方向正确(参见。A211318型),并更正David Kendall和Barton中的错误:
n l=0,l=1,l=2,l=3,依此类推。
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1 [0, 1]
2 [0, 0, 2]
3 [0, 0, 4, 2]
4 [0, 0, 10, 12, 2]
5[0,0,32,70,16,2]
6 [0, 0, 122, 442, 134, 20, 2]
7 [0, 0, 544, 3108, 1164, 198, 24, 2]
8 [0, 0, 2770, 24216, 10982, 2048, 274, 28, 2]
9 [0, 0, 15872, 208586, 112354, 22468, 3204, 362, 32, 2]
10 [0, 0, 101042, 1972904, 1245676, 264538, 39420, 4720, 462, 36, 2]
11 [0, 0, 707584, 20373338, 14909340, 3340962, 514296, 64020, 6644, 574, 40, 2]
12 [0, 0, 5405530, 228346522, 191916532, 45173518, 7137818, 913440, 98472, 9024, 698, 44, 2]
13[0,0,44736512,2763212980,2646100822,652209564,105318770,13760472,1523808,145080,11908,834,48,2]
14 [0, 0, 398721962, 35926266244, 38932850396, 10024669626, 1649355338, 219040274, 24744720, 2419872, 206388, 15344, 982, 52, 2]
15 [0, 0, 3807514624, 499676669254, 609137502242, 163546399460, 27356466626, 3681354658, 422335056, 42129360, 3690960, 285180, 19380, 1142, 56, 2]
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