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A023116 Signature sequence of 1/sqrt(3) (arrange the numbers i+j*x (i,j >= 1) in increasing order; the sequence of i's is the signature of x). 4
1, 1, 2, 1, 2, 1, 3, 2, 1, 3, 2, 1, 4, 3, 2, 1, 4, 3, 2, 5, 1, 4, 3, 2, 5, 1, 4, 3, 6, 2, 5, 1, 4, 3, 6, 2, 5, 1, 4, 7, 3, 6, 2, 5, 1, 4, 7, 3, 6, 2, 5, 1, 8, 4, 7, 3, 6, 2, 5, 1, 8, 4, 7, 3, 6, 2, 9, 5, 1, 8, 4, 7, 3, 6, 2, 9, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
1/sqrt(3) = 0.5773502691896257645091487805019574556476017512701268760186023264839776723029333456937153955857495251...
which is different from the constant x that defines A084822, which is
x=0.5772846089557105648944851585150204938530753765812706743158491735333298369
so the two sequences are different. Where do they first differ? - N. J. A. Sloane, Jan 20 2023
The first difference is A084822(2793) = 1 and a(2793) = 57. - Paul D. Hanna and Michael S. Branicky, Jan 21 2023
REFERENCES
Clark Kimberling, "Fractal Sequences and Interspersions", Ars Combinatoria, vol. 45 p 157 1997.
LINKS
Clark Kimberling, Interspersions
CROSSREFS
Cf. A084822.
Sequence in context: A214651 A196059 A272900 * A084822 A292224 A023130
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)