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A133184 Let k'' be the result of applying the powertrain map of A133500 twice to k. Sequence gives conjectured list of all possible values of k''. +0
2
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 16, 18, 20, 25, 27, 28, 32, 35, 36, 40, 45, 48, 49, 50, 54, 56, 64, 72, 80, 81, 96, 98, 125, 128, 140, 144, 160, 162, 180, 192, 196, 200, 216, 243, 245, 256, 270, 288, 320, 324, 343, 384, 392, 400, 432, 441, 480, 486 (list; graph; listen)
OFFSET

1,3

COMMENT

Sequence is believed to be finite.

All terms are members of A002473. Members of A002473 not present here are given in A133185. However, no proof is known that the missing numbers from A002473 (14, 21, 24, 30, ...) really are missing.

To settle this, one would, for example, have to prove that no number of the form 2^i*3^j*5^k*7^l exists with powertrain value 14.

The entries are based on a search of all numbers k such that k' = powertrain(k) <= 10^120.

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..10001

CROSSREFS

Sequence in context: A064915 A120003 A036965 this_sequence A102576 A101170 A130224

Adjacent sequences: A133181 A133182 A133183 this_sequence A133185 A133186 A133187

KEYWORD

nonn,base

AUTHOR

J. H. Conway and njas, Jan 01 2008

page 1

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Last modified December 4 19:55 EST 2008. Contains 151308 sequences.


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