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, 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.

Links

Table of n, a(n) for n=1..26.

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

Cf. A000010, A000203, A065387, A077080-A077085.

Sequence in context: A065054 A128165 A097646 * A239542 A007926 A320942

Adjacent sequences: A077081 A077082 A077083 * A077085 A077086 A077087

Keyword

nonn

Author

Labos Elemer, Oct 28 2002

Status

approved