A052263 Number of 5-colored labeled graphs on n nodes (divided by 1024).
0, 0, 0, 0, 1, 240, 62720, 23224320, 13440516096, 12754259804160, 20377681883299840, 55671587500342640640, 262483693581093123915776, 2147534811240814766425374720, 30585643102219392981931508367360
Offset: 1
Links
- R. C. Read, The number of k-colored graphs on labelled nodes, Canad. J. Math., 12 (1960), 410-414.
Formula
a(n, k) = (1/k)*Sum_{r=1..n-1} C(n, r) 2^(r*(n-r)) a(r, k-1).