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A267180 Triangle read by rows: T(n,k) = number of rooted maps with n edges on a nonorientable surface of genus k (1 <= k <= n).

%I A267180 #15 Jan 19 2025 00:36:24
%S A267180 1,10,4,98,84,41,982,1340,1380,488,10062,19280,31225,23320,8229,
%T A267180 105024,263284,592824,696912,516958,164892,1112757,3486224,10185056,
%U A267180 16662492,19381145,12980716,4016613,11934910,45247084,164037704,348539072,562395292,590136856,382630152,112818960
%N A267180 Triangle read by rows: T(n,k) = number of rooted maps with n edges on a nonorientable surface of genus k (1 <= k <= n).
%D A267180 David M. Jackson  and Terry I. Visentin, An Atlas of the Smaller Maps in Orientable and Nonorientable Surfaces, Chapman & Hall/CRC, circa 2000. See page 227.
%e A267180 Triangle begins:
%e A267180 1,
%e A267180 10,4,
%e A267180 98,84,41,
%e A267180 982,1340,1380,488,
%e A267180 10062,19280,31225,23320,8229,
%e A267180 105024,263284,592824,696912,516958,164892,
%e A267180 1112757,3486224,10185056,16662492,19381145,12980716,4016613,
%e A267180 11934910,45247084,164037704,348539072,562395292,590136856,382630152,112818960
%e A267180 ...
%Y A267180 See A238396 for analog for orientable surfaces.
%Y A267180 Columns give A007137, A006344.
%Y A267180 Cf. A380235 (unrooted).
%K A267180 nonn,tabl
%O A267180 1,2
%A A267180 _N. J. A. Sloane_, Jan 16 2016