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).

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

Offset: 1

Author

Clark Kimberling

Keywords

• nonn

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

• T. D. Noe, Table of n, a(n) for n=1..1000
• Clark Kimberling, Interspersions
• Index entries for sequences related to signature sequences

Crossrefs

Cf. A084822, A020760.