login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A182371
Number of connected labeled graphs with n nodes and n+11 edges.
2
0, 0, 0, 0, 0, 0, 1330, 6905220, 7279892361, 3717889913655, 1255470137209650, 326123611416074340, 70993993399632155710, 13659118629343706026053, 2405832308811599670396135, 397496768417871214784702640, 62693059156926401902640364120, 9561367292987041683030275944320
OFFSET
1,7
LINKS
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.
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+12), i=1..N)];
CROSSREFS
A diagonal of A343088.
Cf. A057500.
Sequence in context: A038854 A323329 A353027 * A252258 A038677 A202457
KEYWORD
nonn
AUTHOR
Michael Burkhart, Apr 26 2012
EXTENSIONS
Offset corrected and terms a(17) and beyond from Andrew Howroyd, Apr 16 2021
STATUS
approved