This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A023118 #18 May 28 2024 06:35:26 %S A023118 1,1,1,2,1,2,1,2,3,1,2,3,1,2,3,4,1,2,3,4,1,2,3,4,5,1,2,3,4,5,1,2,3,4, %T A023118 5,1,6,2,3,4,5,1,6,2,3,4,5,1,6,2,7,3,4,5,1,6,2,7,3,4,5,1,6,2,7,3,8,4, %U A023118 5,1,6,2,7,3,8,4,5,1,6,2,7,3,8,4,9,5,1,6,2,7,3,8,4,9,5,1,6,2,7,3,8,4,9,5,1 %N A023118 Signature sequence of 1/sqrt(5) (arrange the numbers i+j*x (i,j >= 1) in increasing order; the sequence of i's is the signature of x). %D A023118 C. Kimberling, "Fractal Sequences and Interspersions", Ars Combinatoria, vol. 45 p 157 1997. %H A023118 T. D. Noe, <a href="/A023118/b023118.txt">Table of n, a(n) for n=1..1000</a> %H A023118 C. Kimberling, <a href="http://faculty.evansville.edu/ck6/integer/intersp.html">Interspersions</a> %H A023118 <a href="/index/Si#signature_sequences">Index entries for sequences related to signature sequences</a> %t A023118 signseq[n_] := Take[ Transpose[ Sort[ Flatten[ Table[{i + j*n, i}, {i, Max[15, 15n]}, {j, Max[15, 15/n]}], 1], #1[[1]] < #2[[1]] &]][[2]], 105]; signseq[1/Sqrt[5]] (* _Robert G. Wilson v_, Sep 20 2004 *) %Y A023118 Cf. A020762. %K A023118 nonn %O A023118 1,4 %A A023118 _Clark Kimberling_ %E A023118 More terms from _Robert G. Wilson v_, Sep 20 2004