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A215532
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The limit of the string "0, 1" under the operation 'append first k terms, increment k' with k=2 initially.
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4
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0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0
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COMMENTS
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An infinite binary word.
Sum of the first 10^n terms b(n) begins: 0, 4, 43, 440, 4344, 43826, 439780, 4344256, 43430906, 435183414, 4378550493.
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LINKS
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EXAMPLE
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01 -> 0101 -> 0101 010 -> 0101010 0101 -> 01010100101 01010 etc.
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PROG
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(Python)
TOP = 1000
a = [0]*TOP
a[1] = 1
n = k = 2
while n+k < TOP:
a[n:] = a[:k]
n += k
k += 1
for k in range(n):
print a[k],
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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