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A002712 Triangulations of the disk K_{n,0}.
(Formerly M2746 N1103)
2
1, 1, 1, 3, 8, 23, 68, 215, 680, 2226, 7327, 24607, 83060, 284046, 975950, 3383343, 11778308, 41269252, 145131502, 512881550, 1818259952, 6470758289, 23091680690, 82659905947, 296605398856, 1067012168350, 3846553544904 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

REFERENCES

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=0..26.

William G. Brown, Enumeration of Triangulations of the Disk, Proc. Lond. Math. Soc. s3-14 (1964) 746-768.

W. G. Brown, Enumeration of Triangulations of the Disk, Proc. Lond. Math. Soc. s3-14 (1964) 746-768. [Annotated scanned copy]

C. F. Earl and L. J. March, Architectural applications of graph theory, pp. 327-355 of R. J. Wilson and L. W. Beineke, editors, Applications of Graph Theory. Academic Press, NY, 1979. (Annotated scanned copy)

MAPLE

Dc := proc(n, m) 2*(2*m+3)!*(4*n+2*m+1)!/m!/(m+2)!/n!/(3*n+2*m+3)! ; end:

A000260 := proc(n) Dc(n, 0) ; end:

Dx2 := proc(nmax) add( A000260(n)*x^(2*n), n=0..nmax) ; end:

o := 20: Order := 2*o-1 : j := solve( J0=1+x*J0+x^2*J0*(1+x*J0/2)*series(J0^2-Dx2(o), x=0, 2*o-1), J0) ;

for n from 0 to 2*o-2 do printf("%d, ", coeftayl(j, x=0, n)) ; od: # R. J. Mathar, Oct 29 2008

CROSSREFS

A row of the array in A169809.

Sequence in context: A057198 A025262 A056010 * A192679 A193418 A005960

Adjacent sequences:  A002709 A002710 A002711 * A002713 A002714 A002715

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from R. J. Mathar, Oct 29 2008

STATUS

approved

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Last modified November 22 10:40 EST 2017. Contains 295087 sequences.