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A169895
Number of n-faced simplicial decompositions on a cylinder.
0
21, 264, 2134, 14108, 83072, 453812, 2352872, 11740144, 56894391, 269476772, 1253108594, 5740109460, 25966561036, 116231267108, 515605930368, 2269542200416, 9922528937450, 43125192822720, 186450920282476, 802370755873080, 3438559602598096, 14680863523207304
OFFSET
6,1
LINKS
Juanjo Rué, Enumeration and limit laws of dissections on a cylinder, Discrete Math., 310 (2010), 2519-2541.
FORMULA
The reference gives an explicit g.f.
PROG
(PARI)
acyl(m)={
my( x='x+O('x^(m+3)), Cx, Nx, Dx, Hx );
Cx = (1 - sqrt(1-4*x))/(2*x); /* g.f. of the Catalan numbers (A000108) */
Nx = ((-8*x^5+18*x^4-52*x^3+20*x^2+2*x-1)*Cx + (8*x^5-2*x^4+33*x^3-20*x^2-x+1));
Dx = (x*(1-4*x)^2);
Hx = Nx/Dx;
for(n=0, m, print1(polcoeff(Hx, n, 'x), ", "));
} /* Michel Marcus, Feb 06 2013 */
CROSSREFS
Sequence in context: A135122 A231380 A045505 * A092794 A133717 A056282
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Aug 26 2010
EXTENSIONS
More terms from Michel Marcus, Feb 06 2013
STATUS
approved