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A218092
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Number of transitive reflexive early confluent binary relations R on n labeled elements with max_{x}(|{y : xRy}|) = 2.
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2
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3, 12, 61, 310, 1821, 11592, 80963, 608832, 4910785, 42159238, 383478987, 3678859158, 37087880753, 391641822540, 4319860660447, 49647399946048, 593217470459313, 7354718987639958, 94445777492433515, 1254196823154143190, 17198114810490326713
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OFFSET
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2,1
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COMMENTS
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R is early confluent iff (xRy and xRz) implies (yRz or zRy) for all x, y, z.
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REFERENCES
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A. P. Heinz (1990). Analyse der Grenzen und Möglichkeiten schneller Tableauoptimierung. PhD Thesis, Albert-Ludwigs-Universität Freiburg, Freiburg i. Br., Germany.
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LINKS
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FORMULA
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E.g.f.: exp(x*exp(x)+x^2/2)-exp(x).
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MAPLE
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egf:= exp(x*exp(x)+x^2/2)-exp(x):
a:= n-> n!* coeff(series(egf, x, n+1), x, n):
seq(a(n), n=2..30);
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MATHEMATICA
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Drop[CoefficientList[Series[Exp[x Exp[x]+x^2/2]-Exp[x], {x, 0, nn}], x] Range[0, nn]!, 2]] (* Harvey P. Dale, May 03 2014 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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