A329714 Irregular table read by rows: Take a heptagon with all diagonals drawn, as in A329713. Then T(n,k) = number of k-sided polygons in that figure for k >= 3.
35, 7, 7, 0, 1, 504, 224, 112, 28, 2331, 1883, 1008, 273, 92, 7, 7658, 6314, 3416, 798, 182, 28, 18662, 17514, 8463, 2898, 714, 175, 28, 7, 0, 0, 0, 1, 40404, 35462, 18508, 5796, 1330, 266, 28
Offset: 1
Examples
A heptagon with no other points along its edges, n = 1, contains 35 triangles, 7 quadrilaterals, 7 pentagons, 1 heptagon and no other n-gons, so the first row is [35,7,7,0,1]. A heptagon with 1 point dividing its edges, n = 2, contains 504 triangles, 224 quadrilaterals, 112 pentagons, 28 hexagons and no other n-gons, so the second row is [504,224,112,28]. Triangle begins: 35, 7, 7, 0, 1; 504, 224, 112, 28; 2331, 1883, 1008, 273, 92, 7; 7658, 6314, 3416, 798, 182, 28; 18662, 17514, 8463, 2898, 714, 175, 28, 7, 0, 0, 0, 1; 40404, 35462, 18508, 5796, 1330, 266, 28; 73248, 71596, 35777, 11669, 2654, 651, 70, 49; The row sums are A329713.
Links
- Lars Blomberg, Table of n, a(n) for n = 1..251 (the first 27 rows)
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