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A053099
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When the Euler phi function is iterated with initial value A002110(n)=primorial, a(n)= exponent of largest power of 2 arising iteration.
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0
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1, 1, 3, 4, 7, 9, 13, 14, 18, 21, 24, 26, 31, 33, 38, 42, 46, 50, 54, 58, 61, 64, 70, 76, 81, 87, 92, 97, 99, 104, 106, 111, 118, 123, 127, 132, 136, 137, 144, 148, 155, 159, 163, 169, 173, 177, 181, 184, 190, 193, 199, 205, 211, 218, 226, 232, 238, 241, 247, 253
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Analogous to A053048.
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EXAMPLE
| n=6, A002110(6)=30030; the corresponding iteration chain is: {30030,5760,1536,512,256,128,64,32,16,8,4,2,1}. The first power of 2 is the 4th item after 3 iterations. It is 512, therefore a(6)=Log[2,512]=9 and a(6)+1=10 iterations is needed to reach the stationary value=1. a(6)=512.
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CROSSREFS
| A000010, A002110.
Sequence in context: A140402 A005539 A203623 * A073273 A072441 A152032
Adjacent sequences: A053096 A053097 A053098 * A053100 A053101 A053102
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Feb 28 2000
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