cp's OEIS Frontend

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.

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).

Original entry on oeis.org

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, 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, 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
Offset: 1

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References

  • C. Kimberling, "Fractal Sequences and Interspersions", Ars Combinatoria, vol. 45 p 157 1997.

Crossrefs

Cf. A020762.

Programs

  • Mathematica
    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 *)

Extensions

More terms from Robert G. Wilson v, Sep 20 2004