A319896 Number of connected non-regular multigraphs with n nodes of degree up to n.
0, 1, 0, 3, 31, 595, 33931, 6020479, 3613415171
Offset: 0
Links
- Brendan McKay and Adolfo Piperno, Nauty traces
This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
There is no such thing as a graph with nodes of negative degree, and the "nodeless" graph has, according to the definition in the name, zero nodes of degree less than 0. So a(0) = 1.
for ((n=2; n<9; n++)); do a=0 for ((d=0; d<${n}; d++)); do s=$(geng -c -d1 ${n} -q | multig -r${d} -u 2>&1 | cut -d ' ' -f 7 | grep -v '^$') a=$((a+s)) done echo ${a} done # Andrey Zabolotskiy, Sep 26 2019
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