A096117 Number of connected labeled graphs with n nodes and n+5 edges.

0, 0, 0, 0, 1, 1365, 290745, 35804384, 3431889000, 288982989000, 22716104811840, 1724903317684800, 129165517275377154, 9664573656742964960, 728813888470620552600, 55713446610261097382400, 4334305420045397178746260, 344080024970397555374419968, 27923503603736889921687649020

Offset: 1

Author

Keith Briggs, Aug 09 2004

Keywords

• nonn

Links

• Andrew Howroyd, Table of n, a(n) for n = 1..100
• S. 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.

Extensions

Offset corrected and terms a(17) and beyond from Andrew Howroyd, Apr 16 2021