A374153 Number of domino tilings of the order n Aztec diamond which are diagonally symmetric.

1, 2, 6, 24, 132, 1048, 11960, 190912, 4262928, 135524512, 6141436768, 391734251648, 35123477123136, 4469047377593216, 808053873263687552, 206067461400256215040, 74024266620457328115968, 37686690499768830105752064, 27224442092122180419535037952, 27763174028544752336733047027712

Offset

0,2

Links

Ludovic Schwob, Table of n, a(n) for n = 0..25

Yi-Lin Lee, Off-diagonally symmetric domino tilings of the Aztec diamond, arXiv:2303.02750 [math.CO], 2023.

Ludovic Schwob, Python Program

Formula

Finding a closed-form formula for a(n) is an open problem.

Prog

(Python) # See Links - Ludovic Schwob, Jan 20 2026

Crossrefs

Cf. A006125, A005163, A372145, A374154.

Sequence in context: A368761 A052862 A277211 * A370017 A343482 A216779

Adjacent sequences: A374150 A374151 A374152 * A374154 A374155 A374156

Keyword

nonn

Author

Ludovic Schwob, Jun 29 2024

Extensions

More terms from Ludovic Schwob, Jan 12 2026

Status

approved