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0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 2, 1, 3, 3, 1, 4, 3, 1, 4, 4, 1, 5, 4, 1, 5, 5, 1, 6, 5, 1, 6, 6, 1, 7, 6, 1, 7, 7, 1, 8, 7, 1, 8, 8, 1, 9, 8, 1, 9, 9, 1, 10, 9, 1, 10, 10, 1, 11, 10, 1, 11, 11, 1, 12, 11, 1, 12, 12, 1, 13, 12, 1, 13, 13, 1, 14, 13, 1, 14, 14, 1, 15, 14, 1, 15, 15
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OFFSET
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1,11
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COMMENTS
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The sum of row n is equal to n. See A004526 (integers repeated), which is the main entry for this sequence. - Omar E. Pol, Mar 19 2008
As a flat sequence, a(n+1) is the number of free trees of n vertices which have the maximum possible terminal Wiener index for n vertices (A349704). [Gutman, Furtula, Petrović, theorem 5] - Kevin Ryde, Nov 27 2021
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LINKS
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Ivan Gutman, Boris Furtula and Miroslav Petrović, Terminal Wiener Index, Journal of Mathematical Chemistry, volume 46, 2009, pages 522-531.
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EXAMPLE
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Rows begin:
n=1: 0, 0, 1;
n=2: 0, 1, 1;
n=3: 1, 1, 1;
n=4: 1, 2, 1;
n=5: 1, 2, 2;
n=6: 1, 3, 2;
...
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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