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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. 7

%I #19 Nov 13 2021 05:51:52

%S 1,5,14,3,1,29,19,4,50,66,9,81,164,12,134,313,37,2,219,546,60,7,359,

%T 853,112,9,556,1294,160,16,1,779,1940,283,43,3,1105,2780,360,53,6,

%U 1540,3750,670,91,5,1,2087,5064,873,132,11,2806,6625,1144,164,7,3

%N 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 See the links in A332953 for images of the triangles.

%H Lars Blomberg, <a href="/A333025/b333025.txt">Table of n, a(n) for n = 1..613</a> (the first 70 rows)

%e Table begins:

%e 1;

%e 5;

%e 14, 3, 1;

%e 29, 19, 4;

%e 50, 66, 9;

%e 81, 164, 12;

%e 134, 313, 37, 2;

%e 219, 546, 60, 7;

%e 359, 853, 112, 9;

%e 556, 1294, 160, 16, 1;

%e 779, 1940, 283, 43, 3;

%e 1105, 2780, 360, 53, 6;

%e 1540, 3750, 670, 91, 5, 1;

%e 2087, 5064, 873, 132, 11;

%e 2806, 6625, 1144, 164, 7, 3;

%e The row sums are A332953.

%Y Cf. A332953 (regions), A333026 (vertices), A333027 (edges), A007678, A092867, A331452, A331911, A332357, A332358.

%K nonn,tabf

%O 1,2

%A _Scott R. Shannon_ and _N. J. A. Sloane_, Mar 05 2020

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Last modified April 25 06:49 EDT 2024. Contains 371964 sequences. (Running on oeis4.)