A380416 Number of corona for a diamond of edge n with diamonds of side 1.

18, 83, 258, 627, 1298, 2403, 4098, 6563, 10002

Offset

0,1

Comments

The number of diamonds that can surround a diamond(n) are the natural numbers > 2. These numbers fall into four categories: A004767(n), A004767(n) + 1, A004767(n) + 2, and A004767(n) + 3.

The number of coronal tilings for A004767(n) is 2.

The number of coronal tilings for A004767(n) + 1 is 9,25,49,81,121,169, see A016754.

The number of coronal tilings for A004767(n) + 2 is 6,40,126,288,550,936, see A089207.

The number of coronal tilings for A004767(n) + 3 is 1,16,81,256,625,1296, see A000583.

Links

Table of n, a(n) for n=0..8.

Craig Knecht, 83 corona of the D1 diamond.

Craig Knecht, Coronal Reptile.

Craig Knecht, Example for the sequence.

Crossrefs

Cf. A000583, A004767, A016754, A089207, A380346.

Sequence in context: A043961 A067984 A372400 * A281372 A124935 A126405

Adjacent sequences: A380412 A380414 A380415 * A380417 A380418 A380419

Keyword

nonn,more,new

Author

Craig Knecht, Jan 24 2025

Status

approved