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A182294
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Number of connected labeled graphs with n nodes and n+9 edges
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2
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0, 0, 0, 0, 0, 1, 20349, 21426300, 8956859646, 2352103292070, 470090359867986, 79002015147719136, 11836068369346126698, 1640443794179544776604, 215598057543037336382670
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refs;
listen;
history;
text;
internal format)
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OFFSET
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0,7
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REFERENCES
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S. Janson, D. E. Knuth, T. Luczak and B. Pittel, The Birth of the Giant Component, Random Structures and Algorithms Vol. 4 (1993), 233-358.
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LINKS
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Table of n, a(n) for n=0..14.
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MAPLE
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N:=20: [seq(coeff(op(i, [seq(coeff(taylor(log(add(x^i*(1+y)^(binomial(i, 2))/i!, i=0..N)), x=0, N+1), x, i)*i!, i=1..N)]), y, i-1+10), i=1..N)];
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CROSSREFS
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Cf. A057500, A061540, A061541, A061542, A061543, A096117, A061544, A096150, A096224 (connected labeled graphs with n nodes and n+k edges for k=0..8).
Sequence in context: A234631 A156408 A045815 * A103912 A256104 A269279
Adjacent sequences: A182291 A182292 A182293 * A182295 A182296 A182297
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KEYWORD
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nonn
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AUTHOR
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Michael Burkhart, Apr 23 2012
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STATUS
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approved
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