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

1,1

Comments

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

Links

Table of n, a(n) for n=1..13.

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).

Sequence in context: A080017 A306267 A042551 * A355176 A346606 A059188

Adjacent sequences: A296146 A296147 A296148 * A296150 A296151 A296152

Keyword

nonn,hard,more

Author

Joerg Arndt, Dec 06 2017

Status

approved