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Search: id:A082088
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| A082088 |
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a(n) is the fixed point if function A008472[=sum of prime factors with no repetition] is iterated when started at initial value prime[n]!. |
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+0
5
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| 2, 5, 7, 17, 3, 41, 31, 5, 7, 5, 7, 197, 2, 281, 43, 7, 5, 5, 73, 2, 7, 7, 13, 5, 7, 5, 3, 7, 13, 3, 7, 7, 7, 7, 571, 7, 7, 5, 7, 7, 5, 7, 5, 7, 2, 7, 19, 3, 3, 67, 5, 2, 71, 43, 7, 71, 239, 7, 7, 7699, 2, 5, 313, 8893, 2, 3, 199, 5, 5, 2, 5, 2, 3, 7, 6361, 3, 97, 5, 19, 97, 7, 2593, 5, 5
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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a(n)=A082087[A000142(p[n])].
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EXAMPLE
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n=100,p(100)=541,start at 541! and get iteration list=
{541!,24133} ended immediately in a(100)=24133;
n=99,p(99)-523,start at 523! and get a list of
{523!,23592,988,34,19}, a(99)=19.
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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]}] sopf[x_] := Apply[Plus, ba[x]] Table[FixedPoint[sopf, Prime[w]! ], {w, 2, 100}]
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CROSSREFS
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Cf. A008472, A034387, A007504, A075860, A082087.
Sequence in context: A032141 A032045 A067580 this_sequence A075881 A089727 A113514
Adjacent sequences: A082085 A082086 A082087 this_sequence A082089 A082090 A082091
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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 09 2003
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