A005499 Triangulations of the disk G_{3,n}.

5, 26, 119, 538, 2310, 9882, 41715, 175088, 730626, 3037510, 12584726, 52003792, 214401024, 882233898, 3624161175, 14865947668, 60898934250, 249184153548, 1018532686314, 4159265561360, 16970015555220, 69183689403686, 281844056190294, 1147419353238816, 4668368905854840, 18982659409726792

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

References

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

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..500
• Jean-François Alcover, Mathematica program
• William G. Brown, Enumeration of Triangulations of the Disk, Proc. Lond. Math. Soc. s3-14 (1964) 746-768.
• William G. Brown, Enumeration of Triangulations of the Disk, Proc. Lond. Math. Soc. s3-14 (1964) 746-768. [Annotated scanned copy]

Crossrefs

Row n=3 of A262586.

Programs

Maple

A005499 := proc(n)
        BrownG(3,n) ;
end proc:  # take BrownG from A210696
seq(A005499(n),n=0..25) ; # R. J. Mathar, Mar 30 2012

Mathematica

(* See links *)

Extensions

a(22) onwards from Andrew Howroyd, Nov 23 2024