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Search: id:A097001
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A097001 A062402(x)=sigma(phi[x]) function is iterated; initial value=2^n; a(n)=largest term of trajectory. +0
1
2, 4, 12, 16, 72, 252, 312, 256, 1512, 1860, 12264, 6552, 26208, 34200, 93600, 65536, 833280, 1116024, 2239920, 4464096, 9865440, 8124480, 569540160, 569540160, 1100946774480, 1100946774480, 1100946774480, 1100946774480, 34696672920 (list; graph; listen)
OFFSET

1,1

EXAMPLE

n=13: 2^n=8192, list={8192,8191,26208,[20440],20440,.. a[13]=26208 arose in transient.

MATHEMATICA

gf[x_] :=DivisorSigma[1, EulerPhi[x]] gite[x_, hos_] :=NestList[gf, x, hos] Table[Max[gite[2^w, 200]], {w, 1, 30}]

CROSSREFS

Cf. A000010, A000203, A062402, A096852.

Sequence in context: A053636 A054440 A074646 this_sequence A085931 A125885 A067929

Adjacent sequences: A096998 A096999 A097000 this_sequence A097002 A097003 A097004

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jul 21 2004

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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