|
| |
|
|
A182295
|
|
Number of connected labeled graphs with n nodes and n+10 edges.
|
|
1
|
|
|
|
0, 0, 0, 0, 0, 0, 5985, 13112470, 8535294180, 3096620034795, 800118566011380, 166591475854153740, 30012638793107746776, 4892304538906805158775, 743352352817243899253160
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,7
|
|
|
REFERENCES
|
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.
|
|
|
LINKS
|
Table of n, a(n) for n=0..14.
|
|
|
MAPLE
|
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+11), i=1..N)];
|
|
|
CROSSREFS
|
Cf. A057500, A061540, A061541, A061542, A061543, A096117, A061544, A096150, A096224, A182294 (connected labeled graphs with n nodes and n+k edges for k=0..9).
Sequence in context: A237011 A274362 A233871 * A028546 A055108 A046903
Adjacent sequences: A182292 A182293 A182294 * A182296 A182297 A182298
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Michael Burkhart, Apr 23 2012
|
|
|
STATUS
|
approved
|
| |
|
|
