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A308007 Absolute values of first differences of A081145. 8
1, 2, 3, 4, 5, 6, 9, 7, 8, 14, 10, 11, 18, 12, 13, 24, 15, 16, 30, 17, 19, 34, 20, 21, 39, 22, 23, 43, 25, 26, 50, 27, 28, 54, 29, 31, 57, 33, 32, 35, 36, 70, 37, 38, 73, 40, 41, 78, 42, 44, 85, 45, 46, 90, 47, 48, 94, 49, 51, 97, 52, 53, 104, 55, 56, 109, 58, 59, 116, 61, 60, 62, 63 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The (signed) differences themselves are in A099004, but this sequence is important enough to have its own entry.

Conjectured (see the Slater-Velez and Velez articles) to be a permutation of the positive integers.

It appears that the terms line on two lines (this is true for the first million terms): see A308016-A308020.

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..5000

P. J. Slater and W. Y. Velez, Permutations of the Positive Integers with Restrictions on the Sequence of Differences, Pacific Journal of Mathematics, Vol. 71, No. 1, 1977, 193-196.

P. J. Slater and W. Y. Velez, Permutations of the Positive Integers with Restrictions on the Sequence of Differences, II, Pacific Journal of Mathematics, Vol. 82, No. 2, 1979, 527-531.

William Y. Velez, Research problems 159-160, Discrete Math., 110 (1992), pp. 301-302.

CROSSREFS

Cf. A081145, A081146, A099004, A308021.

See also A308016-A308020.

Sequence in context: A141655 A174349 A099004 * A270194 A055170 A068384

Adjacent sequences:  A308004 A308005 A308006 * A308008 A308009 A308010

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 13 2019

STATUS

approved

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Last modified January 25 08:46 EST 2022. Contains 350565 sequences. (Running on oeis4.)