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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A180600 a(n+1) = a(n) if A180458(n+1) = A180458(n), otherwise a(n+1) = a(n)+1.

Original entry on oeis.org

1, 2, 3, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 13, 14, 15, 16, 16, 16, 17, 18, 18, 19, 19, 20, 20, 21, 22, 22, 22, 22, 23, 24, 24, 24, 25, 25, 25, 26, 27, 28, 28, 28, 29, 29, 30, 31, 32, 32, 33, 33, 34, 35, 36, 36, 37, 37, 38, 39, 39, 40, 40, 41
Offset: 1

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Author

Giovanni Teofilatto, Sep 11 2010

Keywords

Comments

This arithmetic sequence grows with slope 1 where A180458 increases, and has terraces (zero slope) where A180458 has terraces.

Programs

  • Maple
    isA002113 := proc(n) n = digrev(n) ; end proc:
    A180458 := proc(n) local p ; p := ithprime(n) ; while not isA002113(p) do p := p-1 ; end do; p ; end proc:
    A180600 := proc(n) option remember; if n = 1 then 1; else if A180458(n) = A180458(n-1) then procname(n-1) ; else procname(n-1)+1 ; end if; end if; end proc:
    seq(A180600(n),n=1..90) ; # R. J. Mathar, Oct 24 2010
  • Mathematica
    lpn[n_]:=Module[{k=0},While[!PalindromeQ[n-k],k++];n-k]; nxt[{n_,l_,a_}] := Module[{x=lpn[Prime[n+1]]},{n+1,x,If[x==l,a,a+1]}]; NestList[ nxt,{1,1,1},80][[All,3]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Dec 18 2020 *)

Formula

a(n+1) = a(n) + min(1, A180458(n+1)-A180458(n)). - R. J. Mathar, Oct 24 2010

Extensions

Sequence corrected starting near a(54), definition corrected, comment and formula added by R. J. Mathar, Oct 24 2010
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