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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
1, 5, 14, 3, 1, 29, 19, 4, 50, 66, 9, 81, 164, 12, 134, 313, 37, 2, 219, 546, 60, 7, 359, 853, 112, 9, 556, 1294, 160, 16, 1, 779, 1940, 283, 43, 3, 1105, 2780, 360, 53, 6, 1540, 3750, 670, 91, 5, 1, 2087, 5064, 873, 132, 11, 2806, 6625, 1144, 164, 7, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See the links in A332953 for images of the triangles.

LINKS

Lars Blomberg, Table of n, a(n) for n = 1..613 (the first 70 rows)

Table begins:

1;

5;

14, 3, 1;

29, 19, 4;

50, 66, 9;

81, 164, 12;

134, 313, 37, 2;

219, 546, 60, 7;

359, 853, 112, 9;

556, 1294, 160, 16, 1;

779, 1940, 283, 43, 3;

1105, 2780, 360, 53, 6;

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

2087, 5064, 873, 132, 11;

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

The row sums are A332953.

CROSSREFS

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

Sequence in context: A049506 A069524 A262612 * A144518 A051542 A083660

Adjacent sequences:  A333022 A333023 A333024 * A333026 A333027 A333028

KEYWORD

nonn,tabf

AUTHOR

Scott R. Shannon and N. J. A. Sloane, Mar 05 2020

STATUS

approved

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Last modified December 1 21:42 EST 2020. Contains 338858 sequences. (Running on oeis4.)