cp's OEIS Frontend

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.

A333728 Maximum number of graceful labelings for a simple graph on n nodes.

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%I A333728 #28 Dec 21 2020 17:13:42
%S A333728 1,2,12,48,168,1152,9600,97920
%N A333728 Maximum number of graceful labelings for a simple graph on n nodes.
%C A333728 a(9) >= 1491840 (K_1,1,7).
%C A333728 Table of graphs achieving these maxima:
%C A333728 1: K_1
%C A333728 2: K_2 = P_2
%C A333728 3: K_3 = C_3 = K_1,1,1
%C A333728 4: K_4
%C A333728 5: K_1,1,3
%C A333728 6: K_1,1,4
%C A333728 7: K_1,1,5
%C A333728 8: K_1,1,6
%C A333728 a(4) fails to correspond to the diamond graph K_1,1,2 since K_4 has 48 graceful labelings, while K_1,1,2 has only 32.
%Y A333728 Cf. A334307, A339892.
%K A333728 nonn,more
%O A333728 1,2
%A A333728 _Eric W. Weisstein_, Apr 03 2020
%E A333728 a(8) from _Eric W. Weisstein_, Jul 30 2020