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15
75
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Number of Integer Solutions for $x_1 + x_2 + x_3 + x_4 = 15$ where $-5 \le x_i \le 10$

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#integer-partitions
326
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Counting set for generating functions

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#generating-functions #integer-partitions #even-and-odd-functions
136
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Proof for this partition graph

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#number-theory #integer-partitions
62
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For every $k \in \mathbb{N}$ there exists a $q \in \mathbb{R}$ such that $q^0 = 1$ and $q^k = x$

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#real-analysis #induction #integer-partitions
926
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Coin Combinations for any given scenario.

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#permutations #combinations #integer-partitions
984
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disjoint Partition of sets

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#elementary-set-theory #integer-partitions #set-partition
22
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Number of partitions of a $\mathbb{N}^n$ vector

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#integer-partitions
86
Views

Partition Generating Functions

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#generating-functions #integer-partitions
90
Views

Number of ordered set partitions with subset size $\leq 3$

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#combinatorics #permutations #integer-partitions #combinatorial-proofs #set-partition
70
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Number of ways to partition $\{1,2,3, \dots, N\}$ into tuples where the size of no tuple exceeds $3$.

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#combinatorics #permutations #combinations #integer-partitions
108
Views

If I have an integer, how many numbers are there whose digits sum to the integer?

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#combinatorics #number-theory #integer-partitions
52
Views

Partitions reference

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#number-theory #reference-request #integer-partitions
29
Views

Equivalence of partitions of integers problem

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#group-theory #proof-verification #proof-writing #equivalence-relations #integer-partitions
248
Views

How to count all restricted partitions of the number $155$ into a sum of $10$ natural numbers between $[0,30]$?

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#combinatorics #elementary-number-theory #integer-partitions
97
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Is there any proof of this identity?

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#combinatorics #integer-partitions #algebraic-combinatorics

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