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.

A225037 Decimal expansion of the number Sum_{n>=1} ksexp(n,3/2)^(-1).

Original entry on oeis.org

1, 6, 8, 7, 6, 3, 5, 2, 1, 5, 1, 1, 9, 1, 1, 2, 4, 6, 5, 5, 1, 8, 8, 9, 4, 9, 7, 2, 8, 2, 4, 3
Offset: 1

Views

Author

Balarka Sen, Apr 25 2013

Keywords

Comments

The function 'ksexp' is the n-base Kneser tetration, see references below.

Examples

			1.687635215119112465518894...
		

References

  • Hellmuth Kneser, Reelle analytische Lösungen der Gleichung phi(phi(x))=e^x und verwandter Funktionalgleichungen. J. Reine Angew. Math., 187 (1949), 56-67.
  • H. Trappmann & D. Kouznetsov, Uniqueness of Holomorphic Superlogarithms (2009)

Programs

  • PARI
    \\ Download the algorithm for ksexp (see the link)
    \r kneserquiet.gp; \\ Load the algorithm
    b(i)=init(i); sexp(3/2)
    return(1+sumalt(i=1,1/b(i)));