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Combinatorial number system
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Mathematics
Fields of mathematics
Combinatorics
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Combinatorics
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Combinatorial number system
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Codex
0
Created
2026-09-24
Updated
2026-10-05
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Every
positive integer
m
has a
unique greedy representation
m
=
(
r
a
r
)
+
(
r
−
1
a
r
−
1
)
+
⋯
+
(
s
a
s
)
,
a
r
>
a
r
−
1
>
⋯
>
a
s
≥
s
.
(1)
This is also called the binomial representation of
m
at level
r
.
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