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A204329
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Irregular triangle read by rows: T(n,k) (n >= 2) is the number of cubic graphs on 2*n nodes with diameter k.
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5
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1, 0, 2, 0, 2, 3, 0, 1, 15, 2, 1, 0, 0, 34, 43, 6, 2, 0, 0, 34, 351, 93, 24, 6, 1, 0, 0, 14, 2167, 1499, 261, 101, 14, 4, 0, 0, 1, 12301, 22992, 4400, 1229, 310, 55, 12, 1, 0, 0, 1, 57628, 338356, 90870, 17281, 5145, 948, 220, 36, 4, 0, 0, 0, 185836, 4692045, 2013271, 321788, 84159, 17894, 3516, 799, 118, 20, 1
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OFFSET
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2,3
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COMMENTS
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The number of terms in each row (the maximal diameter) begins 1,2,3,5,6,8,... . I don't know how this sequence continues.
The maximal diameter is now provided in A294732, taken from Gordon Royle's Cubic Graphs page. - Hugo Pfoertner, Dec 13 2017
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LINKS
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M. Meringer, GenReg, Generation of regular graphs.
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EXAMPLE
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Triangle begins:
1
0 2
0 2 3
0 1 15 2 1
0 0 34 43 6 2
0 0 34 351 93 24 6 1
0 0 14 2167 1499 261 101 14 4
0 0 1 12301 22992 4400 1229 310 55 12 1
0 0 1 57628 338356 90870 17281 5145 948 220 36 4
0 0 0 185836 4692045 2013271 321788 84159 17894 3516 799 118 20 1
0 0 0 341797 62398297 45891477 7325370 1558408 344829 63072 14082 2665 466 66 6
0 0 0 298821 805690750 1059325766 187592813 32867106 7116021 1271737 253582 52710 9503 1779 245 30 1
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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