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A191966 Number of n X n symmetric (0,1) matrices that achieve the record mentioned in A191965. 6

%I #26 Mar 21 2023 14:15:49

%S 1,1,1,12,15,900,6615,90720,1995840,1360800,197920800,359251200,

%T 1297296000,7264857600,119870150400,2615348736000,29640619008000,

%U 533531142144000,101370917007360000,101370917007360000,425757851430912000,3325168819675422720000

%N Number of n X n symmetric (0,1) matrices that achieve the record mentioned in A191965.

%C Number of labeled squarefree graphs on n nodes with A006855(n) edges. - _Max Alekseyev_, Jan 29 2022

%H Max Alekseyev, <a href="/A191966/b191966.txt">Table of n, a(n) for n = 1..37</a>

%o (Sage) a191966 = lambda n: sum( factorial(n) // g.automorphism_group(return_group=False, order=True) for g in graphs.nauty_geng(options=f'-c -f {n} {oeis(6855)(n)}:0') ) # _Max Alekseyev_, Jan 29 2022

%Y Labeled version of A335820. Rightmost values in A352472.

%Y Cf. A006786, A006855, A077269, A191965, A300756.

%K nonn

%O 1,4

%A _R. H. Hardin_ and _N. J. A. Sloane_, Jun 18 2011

%E a(11)-a(21) from _Max Alekseyev_, Jan 29 2022

%E Corrected and extended to a(37) by _Max Alekseyev_, Mar 12 2023

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Last modified April 23 10:29 EDT 2024. Contains 371905 sequences. (Running on oeis4.)