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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.
1
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
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
KEYWORD
nonn,hard,more
AUTHOR
Joerg Arndt, Dec 06 2017
STATUS
approved