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Number of rooted genus-1 maps with n edges.
(Formerly M4740)
1

%I M4740 #20 Dec 14 2017 21:20:43

%S 1,10,167,1720,24164,256116,3392843,36703824,472592916,5188948072,

%T 65723863196,729734918432,9145847808784,102432266545800,

%U 1274461449989715,14373136466094880,177882700353757460,2017523504473479992,24868664942648145372

%N Number of rooted genus-1 maps with n edges.

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

%D T. R. S. Walsh, Combinatorial Enumeration of Non-Planar Maps. Ph.D. Dissertation, Univ. of Toronto, 1971.

%H T. R. S. Walsh and A. B. Lehman, <a href="http://dx.doi.org/10.1016/0095-8956(72)90056-1">Counting rooted maps by genus</a>, J. Comb. Thy B13 (1972), 122-141 and 192-218.

%H <a href="/A007401/a007401_1.pdf">Notes</a>

%Y Row maxima of A269921.

%K nonn

%O 2,2

%A _N. J. A. Sloane_.

%E More terms from _Sean A. Irvine_, Feb 24 2017