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 A296148 Number of shapes of grid-filling curves of order n (on the square grid) with turns by +-90 degrees that are generated by folding morphisms. 3
 1, 1, 1, 0, 2, 2, 0, 0, 6, 3, 20, 0, 0, 14, 0, 0, 44, 32, 69, 0, 212, 0, 0, 0, 0, 287, 796, 0, 0, 438, 0, 0, 1402, 0, 4232, 0, 3202, 2242, 0, 0, 14316, 5080, 0, 0, 0, 11122, 0, 0, 0, 12374, 155305, 0, 152602, 77469 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS a(0)=1 and a(1)=1 correspond to the trivial (empty and single-stroke) curves of orders 0 and 1 respectively. a(2) = 1 corresponds to the Heighway-Harter dragon (also known as paperfolding dragon). 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. A296147 (nonzero terms of this sequence). Sequence in context: A298133 A298070 A298719 * A121178 A175917 A320525 Adjacent sequences:  A296145 A296146 A296147 * A296149 A296150 A296151 KEYWORD nonn,hard,more AUTHOR Joerg Arndt and Julia Handl, Dec 06 2017 STATUS approved

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Last modified December 12 22:06 EST 2019. Contains 329963 sequences. (Running on oeis4.)