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A022294
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a(n) is the least k>1 such that first n terms of Kolakoski sequence A000002 repeat beginning at k-th term.
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5
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4, 5, 7, 7, 10, 10, 10, 37, 37, 37, 37, 55, 55, 55, 55, 55, 55, 55, 82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 460, 460, 460, 460, 460, 460, 460, 460, 460, 460, 460, 460, 460, 460, 460, 15585, 15585, 15585, 15585, 15585, 15585, 15585, 15585, 15585, 15585, 15585, 15585
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listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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EXAMPLE
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a(3) and a(4) are both 7 because A000002 begins 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, ... and 1, 2, 2 and 1, 2, 2, 1 both repeat at position 7.
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MATHEMATICA
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n = 22; seq = Prepend[Nest[Flatten[Partition[#, 2] /. {{2, 2} -> {2, 2, 1, 1},
{2, 1} -> {2, 2, 1}, {1, 2} -> {2, 1, 1}, {1, 1} -> {2, 1}}] &,
seq = StringJoin[Map[ToString, seq]]; Most[Flatten[Rest[Reap[NestWhile[# + 1 &, 1,
Sow[First[Last[StringPosition[seq,
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PROG
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(C) See Links section.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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