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

1, 6, 24, 200, 3216

Offset

2,2

Comments

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

Links

Table of n, a(n) for n=2..6.

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

Formula

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

Example

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

Crossrefs

Cf. A320945, A320946, A006245.

Sequence in context: A336267 A018981 A052594 * A277985 A091097 A231317

Adjacent sequences: A320941 A320942 A320943 * A320945 A320946 A320947

Keyword

nonn,more

Author

Bridget Tenner, Oct 24 2018

Status

approved