A046653 Triangle of rooted planar maps up to orientation-preserving isomorphisms.

1, 1, 1, 1, 1, 2, 1, 2, 3, 4, 1, 2, 8, 12, 14, 1, 3, 12, 30, 43, 49, 1, 3, 22, 63, 134, 189, 216, 1, 4, 31, 133, 323, 608, 888, 984, 1, 4, 48, 238, 759, 1671, 2988, 4332, 4862, 1, 5, 64, 422, 1594, 4260, 8772, 15126, 22011, 24739, 1, 5, 90, 694, 3210, 10002, 23986, 46923, 79214, 115131, 130338, 1, 6, 115, 1106, 6024, 22176, 60813, 135097, 255277, 424034, 616395, 701584

Offset: 2

Author

N. J. A. Sloane

Keywords

• tabl
• nonn
• easy

Examples

			Triangle begins:
  1;
  1,  1;
  1,  1,  2;
  1,  2,  3,  4;
  1,  2,  8, 12, 14;
  1,  3, 12, 30, 43, 49;
  ...
		

Links

• W. G. Brown, Enumeration of non-separable planar maps, Canad. J. Math., 15 (1963), 526-545.
• W. G. Brown, Enumeration of non-separable planar maps [Annotated scanned copy]

Crossrefs

Cf. A046650 (diagonal), A000087 (row sums).

Programs

Maple

# uses function L(.,.) from A046650
for n from 2 to 13 do
for m from n to 2 by -1 do
    printf("%d,",L(n,m)) ;
end do:
printf("\n") ;
end do: # R. J. Mathar, Apr 13 2019

Formula

Reference gives generating functions.

Extensions

More terms from R. J. Mathar, Apr 13 2019