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A022446
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Fractal sequence of the dispersion of the composite numbers.
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2
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1, 2, 3, 1, 4, 2, 5, 3, 1, 4, 6, 2, 7, 5, 3, 1, 8, 4, 9, 6, 2, 7, 10, 5, 3, 1, 8, 4, 11, 9, 12, 6, 2, 7, 10, 5, 13, 3, 1, 8, 14, 4, 15, 11, 9, 12, 16, 6, 2, 7, 10, 5, 17, 13, 3, 1, 8, 14, 18, 4, 19, 15, 11, 9, 12, 16, 20, 6, 2, 7, 21, 10, 22, 5, 17, 13, 3, 1
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OFFSET
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0,2
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REFERENCES
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C. Kimberling, Fractal sequences and interspersions, Ars Combinatoria, vol. 45 p 157 1997.
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LINKS
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Table of n, a(n) for n=0..77.
C. Kimberling, Interspersions
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MATHEMATICA
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compositePi[n_] := Length[Select[Table[FixedPoint[i + PrimePi[#] + 1 &, i + PrimePi[i] + 1], {i, n}], # <= n &]]; compositefractal[n_] := PrimePi[NestWhile[compositePi, n, ! PrimeQ[#] && # != 1 &]] + 1; Array[compositefractal, 30] (* Gyorgy Birkas, Apr 05 2011 *)
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CROSSREFS
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Sequence in context: A152547 A083906 A160541 * A122196 A023117 A023127
Adjacent sequences: A022443 A022444 A022445 * A022447 A022448 A022449
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling
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STATUS
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approved
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