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A077084
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Fixed points in order of appearance when Phi[Sigma[n]+Phi[n]]=A077080 is iterated with increasing initial values(n); A077083[a(n)]=1.
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0
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1, 2, 6, 10, 20, 22, 46, 48, 58, 82, 106, 166, 178, 180, 208, 226, 262, 346, 358, 382, 466, 478, 502, 864, 1120, 3552
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OFFSET
| 1,2
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COMMENTS
| There are no transients when iteration is started at these values.
Between initial values 502 and 1024 several apparently very long iteration sequences arise. Such critical initial values are collected in A077085.
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FORMULA
| Solutions to A077083[x]=1 or A077080[A077080[x]=x.
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EXAMPLE
| Remark that e.g. 864 as fixed point appears several times when A077080 iterated with initial value n=8,9,...; first without transient when started at n=864[per definitionem]. Next fixed point is most probably 570240 [ !?].
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CROSSREFS
| Cf. A000010, A000203, A065387, A077080-A077085.
Sequence in context: A065054 A128165 A097646 * A007926 A168152 A096338
Adjacent sequences: A077081 A077082 A077083 * A077085 A077086 A077087
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Oct 28 2002
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