A328111 a(n) = A080069(n) OR A267357(n).

1, 3, 15, 47, 191, 743, 2935, 12015, 47615, 190363, 737255, 3092431, 11777535, 48562151, 194672615, 778681963, 3117668351, 12677730147, 49850341191, 192901085003, 795560607711, 3243899871031, 12977889600367, 51055599708139, 204124618746111, 791262494980483, 3318011560984519, 12661179187462123, 52138250822737375, 212591566440951715, 836346216751952367, 3236342451194541807

Offset

0,2

Comments

The pattern has a remarkably nice texture. A269174 gives the trajectory of 1-D Cellular Automaton rule 124 (which is a mirror image of rule 110), when started from a single alive cell. Trails of its evolution can be dimly discerned on the right hand side of given illustrations, while the left hand side shows the evolution of (left hand side of) iterated Dyck-path system A080069 unblemished.

Links

Antti Karttunen, Table of n, a(n) for n = 0..1023

Antti Karttunen, Terms up to a(255) drawn as binary strings, with 1 bit = 3x3 pixels resolution

Antti Karttunen, Terms up to a(1023) drawn as binary strings, with 1 bit = 1 pixel resolution

Formula

a(n) = A080069(n) OR A267357(n), where OR is bitwise-OR, A003986.

Crossrefs

Cf. A003986, A267357, A269174.

Cf. A080069, A080070, and also A079438 and A123050.

Cf. also A328103.

Sequence in context: A232077 A163383 A296799 * A135622 A316853 A061316

Adjacent sequences: A328108 A328109 A328110 * A328112 A328113 A328114

Keyword

nonn

Author

Antti Karttunen, Oct 05 2019

Status

approved