A202068 Denominator of mass of oriented maximal Wicks forms of genus n.

6, 6, 3, 6, 3, 1, 1, 2, 3, 3, 3, 3, 3, 3, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 6, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset

1,1

Links

Table of n, a(n) for n=1..50.

R. Bacher and A. Vdovina, Counting 1-vertex triangulations of oriented surfaces, Discrete Math. 246 (2002), 13-27.

Example

1/6, 35/6, 5005/3, 8083075/6, 6506875375/3, 5849680962125, 23808201515848750, 272830085270868750625/2, 3141638431894053663446875/3, 31136778498501965858421978125/3, ...

Maple

m1:=g->2*(1/12)^g*(6*g-5)!/(g!*(3*g-3)!);
s1:=[seq(m1(g), g=1..50)]:
s1a:=[seq(numer(m1(g)), g=1..50)]; #A202067
s1b:=[seq(denom(m1(g)), g=1..50)]; #A202068
s2:=[seq(6*m1(g), g=1..20)]: #A202066

Crossrefs

Sequence in context: A197510 A360958 A110632 * A301974 A088454 A095228

Adjacent sequences: A202065 A202066 A202067 * A202069 A202070 A202071

Keyword

nonn,frac

Author

N. J. A. Sloane, Dec 10 2011

Status

approved