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A075375 Rearrangement of natural numbers so that every term is relatively prime to the sum of its neighbors. +0
2
1, 2, 4, 3, 6, 8, 5, 9, 11, 7, 12, 10, 15, 13, 14, 16, 17, 19, 18, 22, 21, 24, 20, 23, 25, 26, 28, 27, 30, 32, 29, 31, 34, 36, 33, 35, 38, 40, 39, 37, 41, 42, 44, 43, 45, 46, 48, 49, 47, 50, 52, 51, 54, 56, 53, 55, 58, 60, 61, 57, 63, 59, 62, 64, 65, 67, 66, 70, 71, 68, 72, 69 (list; graph; listen)
OFFSET

1,2

COMMENT

If a(n) = k, define the dislocation of k to be Absolute[k-n]. Conjecture: The maximum value of dislocation < 5.

The conjecture first fails at a(169) = 164. In the first 18000 terms, the largest dislocation is 8. - David Wasserman (dwasserm(AT)earthlink.net), Jan 17 2005

CROSSREFS

Cf. A075376.

Sequence in context: A048680 A143529 A103867 this_sequence A065562 A120233 A137621

Adjacent sequences: A075372 A075373 A075374 this_sequence A075376 A075377 A075378

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 20 2002

EXTENSIONS

More terms from David Wasserman (dwasserm(AT)earthlink.net), Jan 17 2005

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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