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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 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 EXTENSIONS More terms from R. J. Mathar, Oct 29 2008 STATUS approved

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