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 A262586 Square array T(n,m) (n>=0, m>=0) read by antidiagonals downwards giving number of rooted triangulations of type [n,m] up to orientation-preserving isomorphisms. 8
 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, 150, 559, 1302, 2310, 3568, 4830, 5876, 5661, 442, 1952, 5005, 9882, 16500, 24596, 33253, 40490, 39556, 1424, 6872, 19504, 41715, 75387, 120582, 176354, 237336, 290020, 286000, 4522 (list; table; graph; refs; listen; history; text; internal format)
 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)). 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 Rows and columns include A002709, A002710, A002711, A001683, A210696, A005498, A005499. Sequence in context: A074720 A323456 A326058 * A058359 A261608 A110332 Adjacent sequences:  A262583 A262584 A262585 * A262587 A262588 A262589 KEYWORD nonn,tabl AUTHOR N. J. A. Sloane, Oct 20 2015 STATUS approved

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Last modified October 23 04:16 EDT 2020. Contains 337962 sequences. (Running on oeis4.)