A249119 - OEIS

A249119

Decimal expansion of Product_{k >= 0} 1+1/(2^(2^k)+1).

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

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OFFSET

1,2

COMMENTS

This number is irrational.

REFERENCES

Michal Křížek, Florian Luca and Lawrence Somer, 17 Lectures on Fermat Numbers: From Number Theory to Geometry, Springer-Verlag, 2001, p. 110.

LINKS

Table of n, a(n) for n=1..105.

Steven R. Finch, Mathematical Constants II, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, 2018, p. 247.

Vladimir Shevelev, On Stephan's conjectures concerning Pascal triangle modulo 2, arXiv:1011.6083 [math.NT] (2012).

Wikipedia, Fermat number