Irrationality Sequence

A sequence of positive integers {a_n} such that sum1/(a_nb_n) 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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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

Cite this as:

Weisstein, Eric W. "Irrationality Sequence." From MathWorld--A Wolfram Web Resource.

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