A320944 a(n) is the number of perimeter tiles among all rhombic tilings of the 2n-gon.

1, 6, 24, 200, 3216

Offset: 2

Author

Bridget Tenner, Oct 24 2018

Keywords

• nonn
• more

Comments

Tiles and polygons all have sides of length 1, as in A006245.

Examples

			a(4) = 24 because among the eight rhombic tilings of the octagon, 24 perimeter rhombi appear.
		

Links

• B. E. Tenner, Tiling-based models of perimeter and area, arXiv:1811.00082 [math.CO], 2018.

Crossrefs

Cf. A320945, A320946, A006245.

Formula

a(n) = 2*n*A320945(n) for n > 2.