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A157238
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0-1 sequence generated by starting with a 0, and then by using whichever of 0, 1 will result in the shortest sequence repeated at the end.
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0
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0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| a(6)=1 as 0,1,0,0,1,1 has a longest repeated sequence of length 1 at the end, whereas 0,1,0,0,1,0 has a longest repeated sequence of length 3 at the end. Similarly a(7)=0 since 0,1,0,0,1,1,0 has a longest repeated sequence of length 0 at the end.
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PROG
| (Python)
.x = [0]
.while (len(x) < 1000):
..t = x[ -1]
..z = 1
..while (2*z+1 <= len(x)):
...if (x[ -z:] == x[ -(2*z+1):-(z+1)]):
....t = x[ -(z+1)]
...z += 1
..x += [1-t]
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CROSSREFS
| Sequence in context: A084091 A080846 A082401 * A059448 A156259 A138710
Adjacent sequences: A157235 A157236 A157237 * A157239 A157240 A157241
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KEYWORD
| nonn
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AUTHOR
| Luke Pebody (luke.pebody(AT)gmail.com), Feb 25 2009
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