Functions That Enumerate Pairs

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A function that enumerates pairs is a bijective mapping of the set of non-negative integers to the set of all ordered pairs of non-negative integers. Thus there are three functions
,
,
that satisfy the relations
,
,
, with
. One such triple is defined by
;
, where
is the largest integer for which
.
Contributed by: Izidor Hafner (October 2011)
Open content licensed under CC BY-NC-SA
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"Functions That Enumerate Pairs"
http://demonstrations.wolfram.com/FunctionsThatEnumeratePairs/
Wolfram Demonstrations Project
Published: October 13 2011