STATUS
reviewed
approved
reviewed
approved
proposed
reviewed
editing
proposed
Angelo Monti and Blerina Sinaimeri, <a href="https://arxiv.org/abs/2410.16023">Effects of graph operations on star pairwise compatibility graphs</a>, arXiv:2410.16023 [cs.DM], 2024. See p. 16.
approved
editing
proposed
approved
editing
proposed
Number of simple graphs on n unlabeled nodes.
approved
editing
proposed
approved
editing
proposed
from math import prod, factorial, gcd, comb
def A000088(n): return int(sum(Fraction(1<<sum(p[r]*p[s]*gcd(r, s) for r, s in combinations(p.keys(), 2))+sum((q>>1)*r+(q*combr*(r, 2-1)>>1) for q, r in p.items()), prod(q**r*factorial(r) for q, r in p.items())) for p in partitions(n))) # Chai Wah Wu, Jul 02 2024
proposed
editing