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Search: id:A096994
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| A096994 |
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Number of transient terms if f[x]=phi[sigma[x]]=A062401 is iterated at initial value=2^n. Equilibrium terms are listed in A096852. |
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+0
5
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| 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 4, 1, 2, 5, 14, 0, 5, 7, 2, 14, 8, 3, 64, 43, 81, 82, 76, 74, 47, 25, 42, 0
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OFFSET
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0,6
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COMMENT
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For transient lengths for iterations of A062401[x] or A096402[x] if started at 2^n holds that A096994[n]+1=A096995[n]. Corresponding cycle lengths satisfy to :A096852[n-1]=A096857[n]. Behind these observation several relationships stand like eg: sigma[A062401(x)]=A062402(sigma[x]) or phi[A062402(x)]=A062401(phi[x]).
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EXAMPLE
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n=0: trajectory ={1,1,..} so a[0]=0;
n=14: transient-length=14, cycle-length=2, a[14]=14, A096852[14]=2
trajectory ={16384,27000,23040,21600,17280,15360,15488,13824,9600,7680,7200,
12960,11880,11520,[10368,14080],10368,...}.
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CROSSREFS
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Cf. A096852, A062401.
Adjacent sequences: A096991 A096992 A096993 this_sequence A096995 A096996 A096997
Sequence in context: A101565 A029341 A079070 this_sequence A035370 A105524 A000209
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Jul 22 2004
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