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 A284746 Positions of 0 in A284745; complement of A191263. 3
 1, 3, 4, 5, 6, 8, 10, 12, 14, 15, 16, 17, 19, 20, 21, 22, 24, 25, 26, 27, 29, 30, 31, 32, 34, 36, 38, 40, 41, 42, 43, 45, 47, 49, 51, 52, 53, 54, 56, 58, 60, 62, 63, 64, 65, 67, 69, 71, 73, 74, 75, 76, 78, 79, 80, 81, 83, 84, 85, 86, 88, 89, 90, 91, 93, 95 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Conjecture: a(n)/n -> (5 + sqrt(13))/6. From Andrey Zabolotskiy, Apr 13 2017: The conjecture is true since it states that the fraction of 0's is equal to 6/(5 + sqrt(13)), which is the invariant value of the fraction of 0's under the morphism. LINKS Clark Kimberling, Table of n, a(n) for n = 1..10000 EXAMPLE As a word, A284745 = 01000010101..., in which 0 is in positions 1,3,4,5,6,8,... MATHEMATICA s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0, 0, 0}}] &, {0}, 7] (* A284745 *) Flatten[Position[s, 0]] (* this sequence *) Flatten[Position[s, 1]] (* A191263 *) CROSSREFS Cf. A191263, A284744. Sequence in context: A136497 A055563 A090161 * A121540 A026512 A308192 Adjacent sequences: A284743 A284744 A284745 * A284747 A284748 A284749 KEYWORD nonn,easy AUTHOR Clark Kimberling, Apr 13 2017 STATUS approved

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Last modified August 5 17:42 EDT 2024. Contains 374953 sequences. (Running on oeis4.)