A396671 Number of distinct tilings of an L-tromino of order n by elementary L-trominoes.

1, 1, 1, 4, 409, 108388, 104574902, 608850350072, 19464993703121249, 3058588688924405306744, 2667688636188332437795588320, 11779489664021227770290904703308312, 279652174829276379737422154227421710684110, 34733463898947150523805900066147780144341745331036

Offset

0,4

Comments

The L-tromino, also known as the chair, is a rep-tile.

The elementary L-tromino consists of three unit squares joined edge-to-edge to form an L-shape.

An L-tromino of order n is a scaled copy of the elementary L-tromino in which each square has side length n, where n is a positive integer.

Links

Walter Trump, Table of n, a(n) for n = 0..20

Walter Trump, L-tromino tilings

Wikipedia, Rep-tile

Crossrefs

Sequence in context: A280791 A198709 A326209 * A287965 A215647 A228242

Adjacent sequences: A396668 A396669 A396670 * A396672 A396673 A396674

Keyword

nonn,changed

Author

Walter Trump, Jun 02 2026

Status

approved