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Search: id:A077405
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| A077405 |
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Trajectory of n under the Reverse and Add! operation carried out in base 3 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n. |
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5
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| 103, 746, 805, 2231, 2326, 2671, 2725, 2959, 2969, 3679, 4421, 4430, 4439, 4448, 5894, 6626, 6638, 6686, 6698, 6733, 6741, 6779, 6789, 6793, 6943, 7124, 7365, 7849, 8093, 8801, 8836, 10771, 11078, 11158, 13184, 13361, 17558, 17639, 19115, 19196
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Base 3 analogue of A075252 (base 2), A075421 (base 4) and A063048 (base 10); subsequence of A077404. - A proof that the base 3 trajectory does not contain a palindrome has been found up to now for none of the terms. - If the trajectory of an integer k joins the trajectory of a smaller integer which is a term of the present sequence, then this occurs after very few Reverse and Add! steps (at most 9 for k < 20000). On the other hand, the trajectories of the terms of this sequence do not join the trajectory of any smaller term within at least 1000 steps.
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LINKS
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Index entries for sequences related to Reverse and Add!
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EXAMPLE
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805 is a term since the trajectory of 805 (presumably) does not lead to a number which occurs in the trajectory of 103 or of 746.
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CROSSREFS
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Cf. A063048, A075252, A075421, A077404.
Sequence in context: A142635 A142771 A082883 this_sequence A023355 A113629 A034180
Adjacent sequences: A077402 A077403 A077404 this_sequence A077406 A077407 A077408
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KEYWORD
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base,nonn
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 05 2002
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