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G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = tetragonal pyramid group of order 8 with cycle index (z1^5+2*z1*z4+3*z1*z2^2+2*z1^3*z2)/8.
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%I #9 Nov 28 2020 01:36:13

%S 1,1,2,7,25,102,432,1924,8808,41351,197674,959589,4716069,23422164,

%T 117360162,592567469,3011916144,15398787232,79136540960,408574756618,

%U 2118185640135,11022473614333,57552696735994,301434573308538

%N G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = tetragonal pyramid group of order 8 with cycle index (z1^5+2*z1*z4+3*z1*z2^2+2*z1^3*z2)/8.

%H B. A. Kennedy et al., <a href="https://pdfslide.net/documents/group-theory-and-isomerism.html">Group theory and isomerism</a>, Inorg. Chem. 3 (1964), 265-268, for cycle index.

%Y Cf. A036783.

%K nonn

%O 0,3

%A _N. J. A. Sloane_.