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%I #12 Jul 20 2018 03:16:34
%S 11665426077721040625,3498878057690404966500,540996834819906946713375,
%T 57494374008560749302297480,4724172886681078698955547790,
%U 320061005837218582787265273000,18618409220753939214291224549409,956146512935178711199035220384800,44232688287025023758415781081779828,1871678026675570344184400604255444240
%N Number of rooted maps with n edges of genus 9.
%H Sean R. Carrell, Guillaume Chapuy, <a href="http://arxiv.org/abs/1402.6300">Simple recurrence formulas to count maps on orientable surfaces</a>, arXiv:1402.6300 [math.CO], (19-March-2014)
%H Gheorghe Coserea, <a href="/A238359/a238359.txt">The g.f. as a rational function of y=A005159(x)</a>
%t T[0, 0] = 1; T[n_, g_] /; g < 0 || g > n/2 = 0; T[n_, g_] := T[n, g] = ((4 n - 2)/3 T[n - 1, g] + (2 n - 3) (2 n - 2) (2 n - 1)/12 T[n - 2, g - 1] + 1/2 Sum[(2 k - 1) (2 (n - k) - 1) T[k - 1, i] T[n - k - 1, g - i], {k, 1, n - 1}, {i, 0, g}])/((n + 1)/6);
%t a[n_] := T[n, 9];
%t Table[a[n], {n, 18, 30}] (* _Jean-François Alcover_, Jul 20 2018 *)
%o (PARI) \\ see A238396
%Y Rooted maps with n edges of genus g for 0 <= g <= 10: A000168, A006300, A006301, A104742, A215402, A238355, A238356, A238357, A238358, this sequence, A238360.
%K nonn
%O 18,1
%A _Joerg Arndt_, Feb 26 2014
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