A333037 Table read by rows: T(n,k) = number of k-sided polygons in an equal-armed cross with arms of length n (see Comments in A331456 for definition) for k = 3,4,5,6,7.

4, 0, 0, 0, 0, 84, 20, 0, 0, 0, 380, 180, 0, 8, 0, 1076, 764, 40, 20, 0, 2380, 2316, 64, 48, 0, 4716, 5188, 224, 52, 0, 8236, 10492, 360, 92, 0, 13620, 18772, 632, 108, 0, 21188, 31380, 864, 196, 0, 31596, 49228, 1376, 224, 8, 44980, 74268, 1920, 272, 8

Offset

0,1

Comments

See the links in A331456 for images of the crosses.

Links

Table of n, a(n) for n=0..54.

Example

Table begins:
4, 0, 0, 0, 0
84, 20, 0, 0, 0
380, 180, 0, 8, 0
1076, 764, 40, 20, 0
2380, 2316, 64, 48, 0
4716, 5188, 224, 52, 0
8236, 10492, 360, 92, 0
13620, 18772, 632, 108, 0
21188, 31380, 864, 196, 0
31596, 49228, 1376, 224, 8
44980, 74268, 1920, 272, 8
The row sums are A331456.

Crossrefs

Cf. A331456 (regions), A333035 (vertices), A333036 (edges), A331451, A332723, A333025.

Sequence in context: A290322 A274948 A005925 * A070206 A228368 A267701

Adjacent sequences: A333034 A333035 A333036 * A333038 A333039 A333040

Keyword

nonn,more,tabf

Author

Scott R. Shannon and N. J. A. Sloane, Mar 06 2020

Status

approved