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Sum of number of partitons of $k$ into distinct parts as $k$ ranges from $1$ to $n$ is less than $n$th power of $2$.

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#combinatorics #integer-partitions #combinatorial-proofs
228
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Given a Ferrers diagram, prove that $\det(M)=1$

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#combinatorics #integer-partitions #young-tableaux
307
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Number of partitions of n with Durfee square of size k

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#combinatorics #integer-partitions
423
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An application of Integer Partitions

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#combinatorics #generating-functions #integer-partitions
161
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Interesting Partition Questions

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#combinatorics #generating-functions #integer-partitions
520
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Why do partitions correspond to irreps in $S_n$?

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#group-theory #finite-groups #representation-theory #symmetric-groups #integer-partitions
1.1k
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In how many ways you can make up 20 pence using 20p, 10p, 5p, 2p and 1p coins

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#combinatorics #integer-partitions
362
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Partitions using only powers of two on $1000.$

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#algebra-precalculus #generating-functions #integer-partitions
108
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Counting the number of ways in which an integer can be written as a sum of other two integers belonging to two different finite sets.

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#combinatorics #integer-partitions
143
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Distribution of number of terms in integer partitions

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#elementary-number-theory #integer-partitions #young-tableaux
30
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Searching for the right partitions

Published on
#optimization #integer-partitions #integer-programming #discrete-optimization
373
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Longest strict partition of a positive integer?

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#number-theory #integer-partitions
609
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Elementary proof of MacMahon's generating function for plane partitions

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#combinatorics #generating-functions #integer-partitions
85
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Towers of coins puzzle

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#puzzle #integer-partitions
184
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Inequality for hook numbers in Young diagrams

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#combinatorics #inequality #integer-partitions #young-tableaux #algebraic-combinatorics

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