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A103747 Trajectory of 2 under repeated application of the map n -> A102370(n). 5
2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58, 126, 130, 134, 138, 142, 146, 150, 154, 158, 162, 166, 170, 174, 178, 182, 186, 254, 258, 262, 266, 270, 274, 278, 282, 286, 290, 294, 298, 302, 306, 310, 314, 382, 386, 390, 394, 398, 402, 406, 410, 414, 418, 422 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Although it initially appears that a(n)-8n = the 16-periodic sequence {-2,-6,-10,-14,-18,-22,-26,-30,-34,-38,-42,-46,-50,-54,6,2}, this pattern eventually breaks down. For example, 2^130-2 is in this 16-periodic sequence, so is followed by A102370(2^130-2) = 2^130-2 + 4 + 2^130. However, the first break occurs somewhere beyond the first 400 million terms.

REFERENCES

David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers, J. Integer Seq. 8 (2005), no. 3, Article 05.3.6, 15 pp.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [pdf, ps].

PROG

(Haskell)

a103747 n = a103747_list !! (n-1)

a103747_list = iterate (fromInteger . a102370) 2

-- Reinhard Zumkeller, Jul 21 2012

CROSSREFS

Cf. A132417.

Sequence in context: A161718 A122905 A132417 * A290490 A182991 A278568

Adjacent sequences:  A103744 A103745 A103746 * A103748 A103749 A103750

KEYWORD

nonn,base

AUTHOR

Benoit Cloitre and David Applegate, Mar 25 2005

STATUS

approved

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Last modified February 24 03:21 EST 2018. Contains 299595 sequences. (Running on oeis4.)