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A371264 Irregular triangle read by rows: T(n,k) is the number of internal vertices in the graph A371254(n) that are created by the crossing of k arcs, with k>=2.

%I A371264 #20 Mar 23 2024 21:30:18
%S A371264 0,0,0,1,0,5,5,0,0,0,0,1,49,14,48,8,171,27,0,0,0,0,0,1,190,20,484,55,
%T A371264 360,12,0,0,12,0,0,0,0,0,1,1027,91,1078,70,1830,120,0,15,0,0,0,0,0,0,
%U A371264 0,0,0,1,2000,112,3052,204,3114,90,0,0,36,0,0,0,0,0,0,0,0,0,0,0,1
%N A371264 Irregular triangle read by rows: T(n,k) is the number of internal vertices in the graph A371254(n) that are created by the crossing of k arcs, with k>=2.
%C A371264 See A371254 for images of the graphs.
%F A371264 Sum of row(n) = A371254(n) - n;
%e A371264 The table begins:
%e A371264 0;
%e A371264 0;
%e A371264 0, 1;
%e A371264 0;
%e A371264 5, 5;
%e A371264 0, 0, 0, 0, 1;
%e A371264 49, 14;
%e A371264 48, 8;
%e A371264 171, 27, 0, 0, 0, 0, 0, 1;
%e A371264 190, 20;
%e A371264 484, 55;
%e A371264 360, 12, 0, 0, 12, 0, 0, 0, 0, 0, 1;
%e A371264 1027, 91;
%e A371264 1078, 70;
%e A371264 1830, 120, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0 1;
%e A371264 2000, 112;
%e A371264 3052, 204;
%e A371264 3114, 90, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
%e A371264 5662, 285;
%e A371264 5740, 240;
%e A371264 8610, 378, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
%e A371264 8888, 330;
%e A371264 12995, 506;
%e A371264 12312, 336, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
%e A371264 18650, 650;
%e A371264 18668, 572;
%e A371264 25596, 810, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
%e A371264                                                                         \\ 0,  1;
%e A371264 25928, 728;
%e A371264 34887, 1015;
%e A371264 32580, 510, 0, 0, 150, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
%e A371264                                                              \\ 0, 0, 0, 0, 0, 1;
%e A371264 46097, 1240;
%e A371264 46464, 1120;
%e A371264 .
%e A371264 .
%Y A371264 Cf. A371254, A292105, A335102, A292104.
%K A371264 nonn,tabf
%O A371264 1,6
%A A371264 _Scott R. Shannon_, Mar 18 2024