1,733 research outputs found
The 2-adic valuation of a sequence arising from a rational integral
We analyze properties of the 2-adic valuations of an integer sequence that
originates from an explicit evaluation of a quartic integral. We also give a
combinatorial interpretation of the valuations of this sequence. Connections
with the orbits arising from the Collatz (3x+1) problem are discussed.Comment: 16 pages, 6 figure
A remarkable sequence of integers
A survey of properties of a sequence of coefficients appearing in the
evaluation of a quartic definite integral is presented. These properties are of
analytical, combinatorial and number-theoretical nature.Comment: 20 pages, 5 figure
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