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Search: id:A082081
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| A082081 |
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a(n) = fixed point when the pseudo-log function A008475[ ] is iterated. |
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+0
7
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| 0, 2, 3, 4, 5, 5, 7, 8, 9, 7, 11, 7, 13, 9, 8, 16, 17, 11, 19, 9, 7, 13, 23, 11, 25, 8, 27, 11, 29, 7, 31, 32, 9, 19, 7, 13, 37, 7, 16, 13, 41, 7, 43, 8, 9, 25, 47, 19, 49, 27, 9, 17, 53, 29, 16, 8, 13, 31, 59, 7, 61, 9, 16, 64, 11, 16, 67, 7, 8, 9, 71, 17, 73, 16, 11, 23, 11, 11, 79, 7, 81
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Fixed point is always a prime or a power of prime: fixed points are terms of A000961.
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EXAMPLE
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n=10!=3628800:list to fixed point={3628800,369,50,27}.
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MATHEMATICA
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ffi[x_] := Flatten[FactorInteger[x]] lf[x_] := Length[FactorInteger[x]] ba[x_] := Table[Part[ffi[x], 2*w-1], {w, 1, lf[x]}] ep[x_] := Table[Part[ffi[x], 2*w], {w, 1, lf[x]}] sex[x_] := Apply[Plus, ba[x]^ep[x]] Table[FixedPoint[sex, w], {w, 1, 128}]
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CROSSREFS
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Cf. A008475, A001414, A056239, A029908, A082083.
Sequence in context: A088468 A049448 A130044 this_sequence A008475 A073137 A131233
Adjacent sequences: A082078 A082079 A082080 this_sequence A082082 A082083 A082084
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Apr 08 2003
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