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A005502 Triangulations of the disk R_{n,3}.
(Formerly M2904)
2
3, 11, 53, 295, 1867, 12560, 89038, 652198, 4903955, 37627699, 293607612 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Graphs can be enumerated and counted using the tool "plantri", in particular the command "./plantri -s -P6 -c2m2 [n]". - Manfred Scheucher, Mar 08 2018

REFERENCES

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.

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..10.

G. Brinkmann and B. McKay, Plantri (program for generation of certain types of planar graph)

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)

C. F. Earl & N. J. A. Sloane, Correspondence, 1980-1981

FORMULA

a(n) = (A005507(n) + A005495(n))/2 (based on Max Alekseyev's formula, cf. A005501 and A005500).

CROSSREFS

A row or column of the array in A169808.

Sequence in context: A053557 A039302 A074512 * A305710 A000255 A318912

Adjacent sequences:  A005499 A005500 A005501 * A005503 A005504 A005505

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane

EXTENSIONS

a(5)-a(10) from Manfred Scheucher, Mar 08 2018

STATUS

approved

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Last modified February 20 20:55 EST 2019. Contains 320345 sequences. (Running on oeis4.)