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Number of polyhedra with n nodes and n faces.
(Formerly M1864 N0739)
6

%I M1864 N0739 #19 Jan 29 2022 01:00:47

%S 1,1,2,8,42,296,2635,25626,268394,2937495,33310550,388431688,

%T 4637550072,56493493990,700335433295

%N Number of polyhedra with n nodes and n faces.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H P. J. Federico, <a href="http://dx.doi.org/10.1016/S0021-9800(69)80050-5">Enumeration of polyhedra: the number of 9-hedra</a>, J. Combin. Theory, 7 (1969), 155-161.

%H Kyu-Hwan Lee, Se-jin Oh, <a href="http://arxiv.org/abs/1601.06685">Catalan triangle numbers and binomial coefficients</a>, arXiv:1601.06685 [math.CO], 2016.

%H G. P. Michon, <a href="http://www.numericana.com/data/polyhedra.htm">Counting Polyhedra</a>

%Y One of the main diagonals of A212438.

%K nonn,hard,more,nice

%O 4,3

%A _N. J. A. Sloane_

%E More terms from _Gerard P. Michon_, Mar 29 2002