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Search: id:A007715
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| A007715 |
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Number of 5-leaf rooted trees with n levels. |
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+0
1
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| 1, 7, 27, 75, 170, 336, 602, 1002, 1575, 2365, 3421, 4797, 6552, 8750, 11460, 14756, 18717, 23427, 28975, 35455, 42966, 51612, 61502, 72750, 85475, 99801, 115857, 133777, 153700, 175770, 200136, 226952, 256377, 288575, 323715, 361971, 403522
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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Huberman, B. A.; Hogg, T.; Complexity and adaptation. Evolution, games and learning (Los Alamos, N.M., 1985). Phys. D 22 (1986), no. 1-3, 376-384.
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LINKS
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Index entries for sequences related to rooted trees
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FORMULA
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Expansion of (1+2x+2x^2)/(1-x)^5.
a(n)=n(n+1)(5n^2+n+6)/24 - T. D. Noe (noe(AT)sspectra.com), Feb 09 2007
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CROSSREFS
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Sequence in context: A159065 A098931 A143690 this_sequence A039623 A005585 A027180
Adjacent sequences: A007712 A007713 A007714 this_sequence A007716 A007717 A007718
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KEYWORD
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easy,nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)
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