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 A285431 Fixed point of the morphism 0->11, 1-> 110. 5
 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1 LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 J. Shallit, Proof of Irvine's conjecture via mechanized guessing, arXiv preprint arXiv:2310.14252 [math.CO], October 22 2023. Index entries for sequences that are fixed points of mappings EXAMPLE 0 -> 11 -> 110110- -> 1101101111011011 -> 11011011110110111101101101101111011011110110 -> MATHEMATICA s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {1, 1, 0}}] &, {0}, 13] (* A285431 *) Flatten[Position[s, 0]] (* A026368 *) Flatten[Position[s, 1]] (* A026367 *) PROG (Python) from itertools import islice def A285431_gen(): # generator of terms a, l = [1, 1], 0 while True: yield from a[l:] c = sum(([1, 1, 0] if d else [1, 1] for d in a), start=[]) l, a = len(a), c A285431_list = list(islice(A285431_gen(), 30)) # Chai Wah Wu, Nov 30 2023 CROSSREFS Cf. A026367, A026368. Sequence in context: A080764 A291137 A285421 * A267621 A014114 A014219 Adjacent sequences: A285428 A285429 A285430 * A285432 A285433 A285434 KEYWORD nonn,easy AUTHOR Clark Kimberling, Apr 29 2017 STATUS approved

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Last modified June 17 12:36 EDT 2024. Contains 373445 sequences. (Running on oeis4.)