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A077084
Fixed points in order of appearance when Phi[Sigma[n]+phi(n)]=A077080 is iterated with increasing initial values(n); A077083[a(n)]=1.
1
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
OFFSET
1,2
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.
FORMULA
Solutions to A077083[x]=1 or A077080[A077080[x]=x.
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 [ !?].
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, Oct 28 2002
STATUS
approved