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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 6/(5+sqrt(13)), which is the invariant value of 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]]  (* A191263 *)

Flatten[Position[s, 1]]  (* A284746 *)

CROSSREFS

Cf. A191263, A284744.

Sequence in context: A136497 A055563 A090161 * A121540 A026512 A026506

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 May 26 09:12 EDT 2017. Contains 287093 sequences.