A262586 -id:A262586 - cp's OEIS frontend

A002711 Triangulations of the disk G_{n,2}.

1, 5, 21, 119, 735, 4830, 33253, 237336, 1743588, 13114465, 100591491, 784428522, 6204258970, 49675571820, 402013608525, 3284214703056, 27055525967324, 224557688302164, 1876374953765620, 15774315150669075, 133345566025874055, 1132905339504465590, 9669675838370401035

Offset: 0

N. J. A. Sloane

nonn

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).

Andrew Howroyd, Table of n, a(n) for n = 0..500
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]

Column k=2 of A262586.

Cf. A210696.

Maple
```
# see A210696
```

Extended by Max Alekseyev, Mar 30 2009

a(21) onwards from Andrew Howroyd, Nov 23 2024

A005498 Triangulations of the disk G_{2,n}.

Original entry on oeis.org

1, 6, 21, 88, 330, 1302, 5005, 19504, 75582, 294140, 1144066, 4458192, 17383860, 67866918, 265182525, 1037169760, 4059928950, 15905412468, 62359143990, 244662838160, 960566918220, 3773656396796, 14833897694226, 58343359313568, 229591913401900, 903936171565752, 3560597348629860

Offset: 0

N. J. A. Sloane

nonn

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

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]

Row n=2 of A262586.

A005498 := proc(n)
        BrownG(2,n) ;
end proc:  # take BrownG from A210696
seq(A005498(n),n=0..25) ; # R. J. Mathar, Mar 30 2012

Mathematica
```
(* See links *)
```

More terms from R. J. Mathar, Mar 30 2012

a(25) onwards from Andrew Howroyd, Nov 23 2024

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

Original entry on oeis.org

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

N. J. A. Sloane

nonn

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

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]

Row n=3 of A262586.

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 *)
```

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

A341855 Number of nonseparable trivalent maps with n nodes up to orientation preserving automorphisms.

Original entry on oeis.org

1, 2, 4, 20, 93, 554, 3554, 24256, 171676, 1255194, 9399396, 71837656, 558420702, 4404369524, 35176227916, 284034186632, 2315677128324, 19041443086870, 157775390173844, 1316314747361426, 11050281929647605, 93289306725561418, 791625463473512860, 6749144798353446552

Offset: 3

Andrew Howroyd, Feb 22 2021

nonn

Antidiagonal sums of A262586.

Cf. A005027, A005028.

cp's OEIS Frontend

A002711 Triangulations of the disk G_{n,2}.

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Author

Keywords

References

Links

Crossrefs

Programs

Maple

Extensions

A005498 Triangulations of the disk G_{2,n}.

Views

Author

Keywords

References

Links

Crossrefs

Programs

Maple

Mathematica

Extensions

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

Views

Author

Keywords

References

Links

Crossrefs

Programs

Maple

Mathematica

Extensions

A341855 Number of nonseparable trivalent maps with n nodes up to orientation preserving automorphisms.

Views

Author

Keywords

Crossrefs