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A007141
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E-trees with at most 2 colors.
(Formerly M1757)
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3
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1, 2, 7, 22, 75, 250, 886, 3150, 11525, 42698, 160636, 610694, 2345584, 9081850, 35422281, 139022744, 548671671, 2176051206, 8668363781, 34667284600, 139140831224, 560271494924, 2262709876353, 9163000968906, 37198940600718, 151364381619042
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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REFERENCES
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G. Gati, F. Harary and R. W. Robinson, Line colored trees with extendable automorphisms, Acta Math. Scientia, 2 (1982), 105-110.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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FORMULA
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a(n) = E(2, n) where E(c, 1) = 1, E(c, n) = (1/(n-1)) * Sum_{i=1..n-1} ((c+1) * i - n + 1) * S(c, i) * E(c, n-i) and S(c, 0) = 1 and S(c, n) = Sum_{d | n} E(c, d) [From Gati, Harary, Robinson]. - Sean A. Irvine, Oct 29 2017
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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