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

1,3

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

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.

Sequence in context: A214651 A196059 A272900 * A084822 A292224 A023130

Adjacent sequences: A023113 A023114 A023115 * A023117 A023118 A023119

Keyword

nonn,changed

Author

Clark Kimberling

Status

approved