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.

A247954 a(n) = sigma(sigma(2n-1)).

Original entry on oeis.org

1, 7, 12, 15, 14, 28, 24, 60, 39, 42, 63, 60, 32, 90, 72, 63, 124, 124, 60, 120, 96, 84, 168, 124, 80, 195, 120, 195, 186, 168, 96, 210, 224, 126, 252, 195, 114, 224, 252, 186, 133, 224, 280, 360, 234, 248, 255, 360, 171, 392, 216, 210, 508, 280, 216, 300
Offset: 1

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Author

Jaroslav Krizek, Sep 28 2014

Keywords

Comments

See A247821 - numbers k such that sigma(sigma(2k-1)) is a prime p.

Examples

			For n=2; a(2) = sigma(sigma(2*2-1)) = sigma(sigma(3)) = sigma(4) = 7.
		

Crossrefs

Programs

  • Magma
    [SumOfDivisors(SumOfDivisors(2*n-1)): n in [1..1000]];
    
  • Maple
    with(numtheory): A247954:=n->sigma(sigma(2*n-1)): seq(A247954(n), n=1..50); # Wesley Ivan Hurt, Oct 01 2014
  • Mathematica
    Table[DivisorSigma[1, DivisorSigma[1, 2 n - 1]], {n, 50}] (* Wesley Ivan Hurt, Oct 01 2014 *)
  • PARI
    vector(100,n,sigma(sigma(2*n-1))) \\ Derek Orr, Sep 29 2014

Formula

a(n) = A000203(A000203(2n-1)) = A000203(A008438(n-1)) = A051027(2n-1).