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A333025 Irregular table read by rows: Take an isosceles triangle with its equal length sides divided into n equal parts with all diagonals drawn, as in A332953. Then T(n,k) = number of k-sided polygons in that figure for k>=3.

%I A333025 #19 Nov 13 2021 05:51:52
%S A333025 1,5,14,3,1,29,19,4,50,66,9,81,164,12,134,313,37,2,219,546,60,7,359,
%T A333025 853,112,9,556,1294,160,16,1,779,1940,283,43,3,1105,2780,360,53,6,
%U A333025 1540,3750,670,91,5,1,2087,5064,873,132,11,2806,6625,1144,164,7,3
%N A333025 Irregular table read by rows: Take an isosceles triangle with its equal length sides divided into n equal parts with all diagonals drawn, as in A332953. Then T(n,k) = number of k-sided polygons in that figure for k>=3.
%C A333025 See the links in A332953 for images of the triangles.
%H A333025 Lars Blomberg, <a href="/A333025/b333025.txt">Table of n, a(n) for n = 1..613</a> (the first 70 rows)
%e A333025 Table begins:
%e A333025 1;
%e A333025 5;
%e A333025 14, 3, 1;
%e A333025 29, 19, 4;
%e A333025 50, 66, 9;
%e A333025 81, 164, 12;
%e A333025 134, 313, 37, 2;
%e A333025 219, 546, 60, 7;
%e A333025 359, 853, 112, 9;
%e A333025 556, 1294, 160, 16, 1;
%e A333025 779, 1940, 283, 43, 3;
%e A333025 1105, 2780, 360, 53, 6;
%e A333025 1540, 3750, 670, 91, 5, 1;
%e A333025 2087, 5064, 873, 132, 11;
%e A333025 2806, 6625, 1144, 164, 7, 3;
%e A333025 The row sums are A332953.
%Y A333025 Cf. A332953 (regions), A333026 (vertices), A333027 (edges), A007678, A092867, A331452, A331911, A332357, A332358.
%K A333025 nonn,tabf
%O A333025 1,2
%A A333025 _Scott R. Shannon_ and _N. J. A. Sloane_, Mar 05 2020