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A036606
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Triangle of coefficients of generating function of 4-ary rooted trees of height at most n.
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1
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 5, 6, 8, 9, 11, 11, 12, 11, 11, 9, 8, 6, 5, 3, 2, 1, 1, 1, 1, 1, 2, 4, 8, 14, 26, 44, 76, 125, 206, 327, 521, 802, 1231, 1845, 2742, 3987, 5748, 8124, 11364, 15615, 21212, 28336, 37412, 48597, 62368, 78810, 98359
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,13
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LINKS
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Table of n, a(n) for n=0..60.
E. M. Rains and N. J. A. Sloane, On Cayley's Enumeration of Alkanes (or 4-Valent Trees), J. Integer Sequences, Vol. 2 (1999), Article 99.1.1.
Index entries for sequences related to rooted trees
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EXAMPLE
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Triangle begins:
1;
1,1;
1,1,1,1,1,1;
1,1,1,2,3,5,6,8,9,11,11,12,11,11,9,8,6,5,3,2,1,1;
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CROSSREFS
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Sequence in context: A026194 A289279 A102420 * A051837 A026371 A187335
Adjacent sequences: A036603 A036604 A036605 * A036607 A036608 A036609
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KEYWORD
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nonn,tabf,easy
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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