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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A246699 Squarefree n such that C(2^n - 1, n) is also squarefree, where C is the binomial coefficient.

Original entry on oeis.org

1, 2, 3, 6, 11, 21, 29, 31, 51, 55, 57
Offset: 1

Views

Author

Juri-Stepan Gerasimov, Nov 15 2014

Keywords

Comments

Conjectured to be finite.
The subsequence of squarefree numbers in A245569. - M. F. Hasler, Nov 28 2014

Crossrefs

Programs

  • Magma
    [n: n in [1..200] | IsSquarefree(n) and IsSquarefree(Binomial(2^n-1, n))];
    
  • Mathematica
    Select[Range[100], SquareFreeQ[#] && SquareFreeQ[Binomial[2^# - 1, #]] &] (* Vincenzo Librandi, Nov 14 2014 *)
    Select[Range[60],AllTrue[{#,Binomial[2^#-1,#]},SquareFreeQ]&] (* Harvey P. Dale, Feb 07 2025 *)
  • PARI
    is(n)=issquarefree(n) && issquarefree(binomial(2^n-1,n)) \\ Charles R Greathouse IV, Nov 16 2014
Showing 1-1 of 1 results.