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 A215530 The limit of the string "0, 1" under the operation 'repeat string twice and append 0'. 2
 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0 COMMENTS Start of the first occurrence of k consecutive zeros: A123720 except the first term. The limit of the string "0, 1" under the operation 'repeat string twice and append 1': 0 followed by b(n)=1-a(n+1). Sum of the first 10^n terms c(n) begins: 0, 4, 34, 335, 3335, 33336, 333336, 3333338, 33333338, 333333339, 3333333339. LINKS EXAMPLE 01 -> 01010 -> 01010010100 -> 01010010100010100101000 etc. MATHEMATICA rst[ll_] := Flatten[ll /. {x__ -> {x, x, 0}}]; Nest[rst[#] &, {0, 1}, 5] (* Harvey P. Dale, May 25 2015 *) PROG (Python) TOP = 10000 a = [0]*TOP b = [0]*TOP a[1] = b[1] = 1 n = 2 while n*2+1

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Last modified October 15 07:56 EDT 2019. Contains 328026 sequences. (Running on oeis4.)