A296147 Number of shapes of grid-filling curves of order A001481(n) (on the square grid) with turns by +-90 degrees that are generated by folding morphisms.

1, 1, 1, 2, 2, 6, 3, 20, 14, 44, 32, 69, 212, 287, 796, 438, 1402, 4232, 3202, 2242, 14316, 5080, 11122, 12374, 155305, 152602, 77469

Offset: 1

Author

Joerg Arndt and Julia Handl, Dec 06 2017

Keywords

• nonn
• hard
• more

Comments

a(1) and a(2) correspond to the trivial (empty and single-stroke) curves of orders 0 and 1 respectively.

Links

• Jörg Arndt, Julia Handl, Plane-filling Folding Curves on the Square Grid, Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture; Stockholm (2018).

Crossrefs

Cf. A296148 (same sequence, including zero terms).

Cf. A265685 (simple curves of order 4*n+1).