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A285402
Positions of 1 in A285177; complement of A285401.
3
3, 6, 9, 12, 13, 14, 15, 16, 19, 22, 25, 28, 31, 32, 33, 34, 35, 38, 41, 44, 47, 50, 51, 52, 53, 54, 57, 60, 63, 66, 69, 70, 71, 72, 73, 76, 77, 78, 79, 80, 83, 84, 85, 86, 87, 90, 91, 92, 93, 94, 97, 98, 99, 100, 101, 104, 107, 110, 113, 116, 117, 118, 119
OFFSET
1,1
COMMENTS
Conjecture: a(n)/n -> (82 + sqrt(3))/47 = 1.781...
This conjecture is false. In fact, a(n)/n --> (5+sqrt(17))/(1+sqrt(17)) = 1.7807764... = A188485. See A285401. It follows in the same way as there, that a(n)/n --> 1/f1, where f1 is the frequency of 1's in A285177, and f1 can be computed using the Perron Frobenius theorem. - Michel Dekking, Feb 10 2021
LINKS
EXAMPLE
As a word, A285177 = 001001..., in which 0 is in positions 3,6,9,12,13,...
MATHEMATICA
s = Nest[Flatten[# /. {0 -> {1, 1}, 1 -> {0, 0, 1}}] &, {0}, 10] (* A285177 *)
Flatten[Position[s, 0]] (* A285401 *)
Flatten[Position[s, 1]] (* A285402 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 26 2017
STATUS
approved