A182294 Number of connected labeled graphs with n nodes and n+9 edges.

0, 0, 0, 0, 0, 1, 20349, 21426300, 8956859646, 2352103292070, 470090359867986, 79002015147719136, 11836068369346126698, 1640443794179544776604, 215598057543037336382670, 27336005392867324870778880, 3385297472808136707459580488, 413211903044379104303226531072

Offset: 1

Author

Michael Burkhart, Apr 23 2012

Keywords

• nonn

Links

• Andrew Howroyd, Table of n, a(n) for n = 1..100
• Steven R. Finch, An exceptional convolutional recurrence, arXiv:2408.12440 [math.CO], 22 Aug 2024.
• S. Janson, D. E. Knuth, T. Łuczak and B. Pittel, The Birth of the Giant Component, Random Structures and Algorithms Vol. 4 (1993), 233-358.

Crossrefs

A diagonal of A343088.

Cf. A057500.

Programs

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+10),i=1..N)];

Extensions

Offset corrected and terms a(16) and beyond from Andrew Howroyd, Apr 16 2021