OFFSET
0,5
LINKS
W. G. Brown, Enumeration of Triangulations of the Disk, Proc. Lond. Math. Soc. s3-14 (1964) 746-768. [Annotated scanned copy]. See Table 1 (with a typo at G(n=1,m=6)).
L. March and C. F. Earl, On Counting Architectural Plans, Environment and Planning B, 4 (1977), 57-80. See Table 2.
Jean-François Alcover, Mathematica code
FORMULA
Brown (Eq. 6.3) gives a formula.
EXAMPLE
The first few rows are:
1, 1, 1, 4, 6, 19, 49, 150, 442, 1424, 4522, 14924, 49536, ...
1, 2, 5, 16, 48, 164, 559, 1952, ...
1, 6, 21, 88, 330, 1302, 5005, 19504, 75582, 294140, ...
5, 26, 119, 538, 2310, 9882, 41715, 175088, 730626, ...
...
The first few antidiagonals are:
1,
1,1,
1,2,1,
4,5,6,5,
6,16,21,26,24,
19,48,88,119,147,133,
49,164,330,538,735,892,846,
...
MAPLE
A262586 := proc(n, m)
BrownG(n, m) ; # procedure in A210696
end proc:
for d from 0 to 12 do
for n from 0 to d do
printf("%d, ", A262586(n, d-n)) ;
end do:
end do: # R. J. Mathar, Oct 21 2015
MATHEMATICA
See LINKS section.
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
N. J. A. Sloane, Oct 20 2015
STATUS
approved