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 A321705 Number of genus 5 rooted hypermaps with n darts. 2
 604800, 57170880, 2936606400, 108502598960, 3225186125460, 81861294718764, 1840409325096500, 37558997857897164, 708015469597497732, 12488421105878928700, 208161512148250424484, 3304395638081490531324, 50267199680265668419244, 736516493829967530909204, 10437808798822929984593100 (list; graph; refs; listen; history; text; internal format)
 OFFSET 11,1 LINKS Gheorghe Coserea, Table of n, a(n) for n = 11..111 Peter Zograf, Enumeration of Grothendieck's Dessins and KP Hierarchy, arXiv:1312.2538 [math.CO], 2014. FORMULA G.f.: y*(y - 1)^11*(13150*y^19 - 315600*y^18 + 6947865*y^17 - 70489470*y^16 + 569637816*y^15 - 3253135788*y^14 + 14658702716*y^13 - 51696766668*y^12 + 146255446788*y^11 - 332779761068*y^10 + 610739916966*y^9 - 900544355928*y^8 + 1057440629016*y^7 - 973453624356*y^6 + 685359139356*y^5 - 355019010868*y^4 + 127180243662*y^3 - 28342783668*y^2 + 3224985513*y - 120590634)/(4*(y - 2)^22*(y + 1)^17), where y=A000108(2*x). PROG (PARI) seq(N) = {   my(x='x+O('x^(N+2)), y=(1-sqrt(1-8*x))/(4*x));   Vec(y*(y - 1)^11*(13150*y^19 - 315600*y^18 + 6947865*y^17 - 70489470*y^16 + 569637816*y^15 - 3253135788*y^14 + 14658702716*y^13 - 51696766668*y^12 + 146255446788*y^11 - 332779761068*y^10 + 610739916966*y^9 - 900544355928*y^8 + 1057440629016*y^7 - 973453624356*y^6 + 685359139356*y^5 - 355019010868*y^4 + 127180243662*y^3 - 28342783668*y^2 + 3224985513*y - 120590634)/(4*(y - 2)^22*(y + 1)^17)); }; seq(15) CROSSREFS Column 5 of A321710. Sequence in context: A237471 A251070 A184561 * A340924 A218107 A274173 Adjacent sequences:  A321702 A321703 A321704 * A321706 A321707 A321708 KEYWORD nonn AUTHOR Gheorghe Coserea, Nov 17 2018 STATUS approved

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Last modified December 4 19:40 EST 2021. Contains 349526 sequences. (Running on oeis4.)