%I #29 May 28 2024 06:33:47
%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>
%H <a href="/index/Si#signature_sequences">Index entries for sequences related to signature sequences</a>
%Y Cf. A084822, A020760.
%K nonn
%O 1,3
%A _Clark Kimberling_