A296147 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,4

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).

KEYWORD

nonn,hard,more

AUTHOR

Joerg Arndt and Julia Handl, Dec 06 2017

STATUS

approved