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Multinomial Expansion

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#combinatorics #integer-partitions #multinomial-coefficients
304
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Proof of an identity about integer partition

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#combinatorics #number-theory #integer-partitions #algebraic-combinatorics
93
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How many compositions does 40 have (with up to 5 addends), with each positive integer addend between 2 and 12?

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#combinatorics #generating-functions #integers #integer-partitions
105
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Sharing a pie evenly among an unknown number of people.

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#combinatorics #algorithms #integer-partitions
237
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Polynomial recursion from sequence recursion

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#combinatorics #generating-functions #recursion #integer-partitions
184
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Number of partitions with restriction on the greatest part and on the number of parts

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#combinatorics #integer-partitions
28
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Sum of partition's product modulo 5 up to 41

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#summation #modules #products #integer-partitions
72
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Combinatorial proof of $P(n|p|q+1) = P(n-q|p|\le q+1) - P(n-p-q|p|\le q)$

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#combinatorics #integer-partitions
394
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Truncating a generating function

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#combinatorics #generating-functions #integer-partitions
148
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Partitions of integers, but ignoring commutativity and restricted to only using the first $3$ positive integers

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#number-theory #integer-partitions
71
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Bijection Partition identity

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#combinatorics #integer-partitions
256
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Two Recurrences for Counting Rooted Trees

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#combinatorics #integer-partitions
201
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Time complexity of finding the largest Goldbach partition

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#computational-complexity #integer-partitions #primality-test #goldbachs-conjecture
38
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How to calculate the partitions of a concrete number?

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#integer-partitions
128
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How many different ways to pay $2018, using only quarters, dimes, nickels, and pennies?

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#combinations #integer-partitions

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