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

%I A046653 #20 Jan 13 2025 15:06:40
%S A046653 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,
%T A046653 216,1,4,31,133,323,608,888,984,1,4,48,238,759,1671,2988,4332,4862,1,
%U A046653 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
%N A046653 Triangle of rooted planar maps up to orientation-preserving isomorphisms.
%H A046653 W. G. Brown, <a href="http://dx.doi.org/10.4153/CJM-1963-056-7">Enumeration of non-separable planar maps</a>, Canad. J. Math., 15 (1963), 526-545.
%H A046653 W. G. Brown, <a href="/A000087/a000087.pdf">Enumeration of non-separable planar maps</a> [Annotated scanned copy]
%F A046653 Reference gives generating functions.
%e A046653 Triangle begins:
%e A046653   1;
%e A046653   1,  1;
%e A046653   1,  1,  2;
%e A046653   1,  2,  3,  4;
%e A046653   1,  2,  8, 12, 14;
%e A046653   1,  3, 12, 30, 43, 49;
%e A046653   ...
%p A046653 # uses function L(.,.) from A046650
%p A046653 for n from 2 to 13 do
%p A046653 for m from n to 2 by -1 do
%p A046653     printf("%d,",L(n,m)) ;
%p A046653 end do:
%p A046653 printf("\n") ;
%p A046653 end do: # _R. J. Mathar_, Apr 13 2019
%Y A046653 Cf. A046650 (diagonal), A000087 (row sums).
%K A046653 tabl,nonn,easy
%O A046653 2,6
%A A046653 _N. J. A. Sloane_
%E A046653 More terms from _R. J. Mathar_, Apr 13 2019