A296149 Number of shapes of grid-filling curves of order 4*n+1 (on the square grid) with turns by +-90 degrees that are generated by folding morphisms.

2, 3, 14, 32, 0, 287, 438, 0, 2242, 5080, 11122, 12374, 77469

Offset: 1

Author

Joerg Arndt, Dec 06 2017

Keywords

• nonn
• hard
• more

Comments

Terms are nonzero if and only if 4*n+1 is a term of A057653.

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 (number of folding curves of all orders).

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