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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A316352 Decimal expansion of (BesselI(0,1/2)-BesselI(1,1/2))/(BesselI(0,1/2)-3*BesselI(1,1/2)).

Original entry on oeis.org

2, 7, 7, 9, 8, 0, 6, 0, 7, 9, 1, 5, 0, 3, 5, 6, 9, 1, 3, 9, 0, 2, 9, 6, 2, 1, 8, 4, 5, 5, 3, 1, 2, 0, 1, 4, 6, 7, 6, 0, 7, 3, 3, 6, 5, 5, 0, 9, 6, 0, 4, 4, 1, 9, 3, 3, 3, 3, 6, 6, 5, 5, 5, 2, 4, 3, 1, 2, 6, 9
Offset: 1

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Author

Terry D. Grant, Jun 29 2018

Keywords

Comments

The continued fraction of this number is the same as that of exp(1), except that a(3n) of the continued fraction of this number is the sequence of odd numbers, 2n+1, rather than the sequence of even numbers, 2n.

Examples

			2.77980607915035691390296218455... = 2 + 1/(1 + 1/(3 + 1/(1 + 1/(1 + 1/(5 + ...)))))
		

Crossrefs

Programs

  • Mathematica
    RealDigits[(BesselI[0, 1/2] - BesselI[1, 1/2])/(BesselI[0, 1/2] - 3 BesselI[1, 1/2]), 10, 70][[1]]
  • PARI
    (besseli(0, 1/2)-besseli(1, 1/2))/(besseli(0, 1/2)-3*besseli(1, 1/2)) \\ Felix Fröhlich, Jul 07 2018
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