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Search: id:A135381
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| A135381 |
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a(n) = high point in trajectory of n under repeated application of powertrain map (see A133500). |
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+0
4
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| 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 32, 531441, 128, 256, 512, 30, 31, 32, 128, 81, 5832000, 729, 30840979456, 191102976, 102372436321763328, 40, 41, 42, 531441, 256, 1024, 531441, 531441, 5832000, 8470728, 50, 51, 32, 125, 625
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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N. J. A. Sloane, Table of n, a(n) for n = 0..10000
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EXAMPLE
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The trajectory of 39 is 39 -> 19683 -> 5038848 -> 214990848 -> 17179869184 -> 1735247072139264 -> 19999187712 -> 102372436321763328 -> 8813365017182208 -> 0, so a(39) = 102372436321763328.
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MAPLE
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maxtraj := proc(n) local h, p, M, t1, t2, i; M:=100; t1:=n; h:=n; for i from 1 to M do t2:=powertrain(t1); if t2 = t1 then RETURN(n, h); fi; if t2 > t1 then h:=t2; fi; t1:=t2; od; RETURN(n, -1); end;
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CROSSREFS
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Cf. A133500, A133501. For records see A135382, A135383.
Sequence in context: A050608 A046510 A090273 this_sequence A135382 A064598 A048242
Adjacent sequences: A135378 A135379 A135380 this_sequence A135382 A135383 A135384
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KEYWORD
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nonn,base
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AUTHOR
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J. H. Conway and N. J. A. Sloane (njas(AT)research.att.com), Dec 10 2007
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