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.

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A297827 Difference sequence of A297826.

Original entry on oeis.org

1, 5, 2, 2, 4, 3, 3, 1, 2, 4, 1, 4, 1, 6, 2, 1, 2, 6, 0, 2, 6, 0, 2, 2, 2, 4, 5, 2, 1, 2, 2, 2, 4, 3, 1, 2, 2, 2, 4, 3, 3, 3, 1, 2, 4, 1, 2, 2, 4, 5, 2, 3, 3, 1, 2, 4, 1, 6, 2, 3, 3, 1, 2, 4, 1, 4, 1, 4, 1, 6, 2, 1, 2, 6, 2, 3, 1, 2, 4, 1, 2, 2, 4, 3, 1, 4
Offset: 1

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Author

Clark Kimberling, Feb 04 2018

Keywords

Comments

Conjectures:
(1) 0 <= a(k) <= 6 for k>=1;
(2) if d is in {0,1,2,3,4,5,6}, then a(k) = d for infinitely many k; for d = 0, see A297829.

Crossrefs

Programs

  • Mathematica
    mex[list_, start_] := (NestWhile[# + 1 &, start, MemberQ[list, #] &]);
    tbl = {}; a[0] = 1; a[1] = 2; b[0] = 3; b[1] = 4;
    a[n_] := a[n] = a[1]*b[n - 1] - a[0]*b[n - 2] + n;
    b[n_] := b[n] = mex[tbl = Join[{a[n], a[n - 1], b[n - 1]}, tbl], b[n - 1]];
    u = Table[a[n], {n, 0, 300}](* A297826 *)
    v = Table[b[n], {n, 0, 300}](* A297997 *)
    Differences[u];  (* A297827 *)
    Differences[v];  (* A297828 *)
    (* Peter J. C. Moses, Jan 03 2017 *)
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