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%I #15 Jan 04 2024 14:40:37
%S 0,0,0,1,0,6,30,12,12,126,102,6,18,384,294,78,18,0,6,888,726,300,42,
%T 12,1824,1500,594,216,12,3186,3048,1206,186,36,5592,4914,1866,588,48,
%U 6,8736,8298,3108,816,108,12,13164,12786,5046,1368,180,18,19578,17940,7242,1854,144,60,26700,27426,10842,2652,324,18
%N Irregular table read by rows: T(n,k) is the number of k-sided polygons, for n>=1 and k>=3, in a hexagon when straight line segments connect the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on the edge on the opposite side of the hexagon.
%H Scott R. Shannon, <a href="/A367665/a367665.png">Image for T(9,k)</a>.
%F Sum of row(n) = A367662(n).
%e The table begins:
%e 0, 0, 0, 1;
%e 0, 6;
%e 30, 12, 12;
%e 126, 102, 6, 18;
%e 384, 294, 78, 18, 0, 6;
%e 888, 726, 300, 42, 12;
%e 1824, 1500, 594, 216, 12;
%e 3186, 3048, 1206, 186, 36;
%e 5592, 4914, 1866, 588, 48, 6;
%e 8736, 8298, 3108, 816, 108, 12;
%e 13164, 12786, 5046, 1368, 180, 18;
%e 19578, 17940, 7242, 1854, 144, 60;
%e 26700, 27426, 10842, 2652, 324, 18;
%e 36972, 37134, 15000, 3462, 408, 72;
%e 50316, 48552, 19398, 4830, 480, 96, 0, 12;
%e 64398, 68388, 27018, 6006, 852, 132;
%e 83052, 89268, 35178, 8526, 1140, 204, 12;
%e 106956, 109938, 42600, 10218, 1116, 204, 24;
%e 131664, 145332, 56622, 14160, 1908, 234, 12;
%e 166338, 173514, 69426, 16716, 2004, 252;
%e 202932, 215028, 82374, 20202, 2400, 324, 12;
%e .
%e .
%Y Cf. A367662 (regions), A367663 (vertices), A367664 (edges), A355801.
%K nonn,tabf
%O 1,6
%A _Scott R. Shannon_, Nov 26 2023
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