Irrationality Sequence

A sequence of positive integers ${a_n}$ such that is irrational for all integer sequences ${b_n}$ . Erdős showed that ${2^(2^n)}={1,2,4,16,256,...}$ (OEIS A001146) is an irrationality sequence.

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sequences
binomial distribution n=40, p=0.32
circle of radius 2 with center (0,-2)

References

Guy, R. K. "Irrationality Sequence." §E24 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 225, 1994.Sloane, N. J. A. Sequence A001146/M1297 in "The On-Line Encyclopedia of Integer Sequences."

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Irrationality Sequence

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Weisstein, Eric W. "Irrationality Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/IrrationalitySequence.html

Irrationality Sequence

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References

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