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A238359 Number of rooted maps with n edges of genus 9. 14
11665426077721040625, 3498878057690404966500, 540996834819906946713375, 57494374008560749302297480, 4724172886681078698955547790, 320061005837218582787265273000, 18618409220753939214291224549409, 956146512935178711199035220384800, 44232688287025023758415781081779828, 1871678026675570344184400604255444240 (list; graph; refs; listen; history; text; internal format)
OFFSET

18,1

LINKS

Table of n, a(n) for n=18..27.

Sean R. Carrell, Guillaume Chapuy, Simple recurrence formulas to count maps on orientable surfaces, arXiv:1402.6300 [math.CO], (19-March-2014)

Gheorghe Coserea, The g.f. as a rational function of y=A005159(x)

MATHEMATICA

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);

a[n_] := T[n, 9];

Table[a[n], {n, 18, 30}] (* Jean-Fran├žois Alcover, Jul 20 2018 *)

PROG

(PARI) \\ see A238396

CROSSREFS

Rooted maps with n edges of genus g for 0 <= g <= 10: A000168, A006300, A006301, A104742, A215402, A238355, A238356, A238357, A238358, this sequence, A238360.

Sequence in context: A095435 A155960 A266961 * A253389 A257307 A115540

Adjacent sequences:  A238356 A238357 A238358 * A238360 A238361 A238362

KEYWORD

nonn

AUTHOR

Joerg Arndt, Feb 26 2014

STATUS

approved

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Last modified August 7 07:54 EDT 2020. Contains 336274 sequences. (Running on oeis4.)