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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, 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

Table of n, a(n) for n=1..27.

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).

Sequence in context: A304987 A305814 A266479 * A130712 A276075 A321908

Adjacent sequences:  A296144 A296145 A296146 * A296148 A296149 A296150

KEYWORD

nonn,hard,more

AUTHOR

Joerg Arndt and Julia Handl, Dec 06 2017

STATUS

approved

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Last modified December 10 21:53 EST 2019. Contains 329909 sequences. (Running on oeis4.)