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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

%I #25 Jan 21 2023 01:51:20

%S 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,

%T 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,

%U 1,8,4,7,3,6,2,9,5

%N 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).

%C 1/sqrt(3) = 0.5773502691896257645091487805019574556476017512701268760186023264839776723029333456937153955857495251...

%C which is different from the constant x that defines A084822, which is

%C x=0.5772846089557105648944851585150204938530753765812706743158491735333298369

%C so the two sequences are different. Where do they first differ? - _N. J. A. Sloane_, Jan 20 2023

%C The first difference is A084822(2793) = 1 and a(2793) = 57. - _Paul D. Hanna_ and _Michael S. Branicky_, Jan 21 2023

%D Clark Kimberling, "Fractal Sequences and Interspersions", Ars Combinatoria, vol. 45 p 157 1997.

%H T. D. Noe, <a href="/A023116/b023116.txt">Table of n, a(n) for n=1..1000</a>

%H Clark Kimberling, <a href="http://faculty.evansville.edu/ck6/integer/intersp.html">Interspersions</a>

%Y Cf. A084822.

%K nonn

%O 1,3

%A _Clark Kimberling_

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Last modified March 28 04:55 EDT 2024. Contains 371235 sequences. (Running on oeis4.)