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Partition of numbers

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#number-theory #integer-partitions
72
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Proof that two generating function are equals for the sequence which $n$-th number is:

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#generating-functions #integer-partitions
138
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Use generating function to check how many solutions are to get balls from boxes and roll dices

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#generating-functions #integer-partitions
274
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How many distinct, non-negative integer solutions are there for $2x_0+\sum_{i=1}^{m}{x_i}=n$?

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#combinatorics #discrete-mathematics #permutations #integer-partitions #inclusion-exclusion
112
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Interpreting the table of classification of the partitions of $n$

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#finite-groups #permutations #representation-theory #symmetric-groups #integer-partitions
1.1k
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# of partitions of $n$ into at most $r$ positive integers $=$ # of partitions of $n + r$ into exactly $r$ positive integers?

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#combinatorics #algebra-precalculus #discrete-mathematics #contest-math #integer-partitions
568
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Number of n-tuples, whose elements <=than q, sum up to k

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#combinatorics #integer-partitions
356
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How many numbers of $10$ digits that have at least $5$ different digits are there?

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#combinatorics #permutations #factorial #integer-partitions
363
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Number of ways to partition $40$ balls with $4$ colors into $4$ baskets

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#combinatorics #integer-partitions #balls-in-bins
4k
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Distribution of the sum of $N$ loaded dice rolls

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#probability #probability-distributions #integer-partitions #dice
276
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Randomized Quick Sort and Partition Probability?

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#probability #discrete-mathematics #computer-science #integer-partitions #sorting
382
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Writing partition function with divisor function

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#number-theory #integer-partitions #divisor-sum
105
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Different kind of partition function

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#number-theory #integer-partitions
218
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Use a Ferrers diagram to prove that $\sum\limits_{k=1}^m{P_k(n)} = P_m(n+m)$

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#combinatorics #integer-partitions #young-tableaux
159
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Set as a union of 3 disjoint sets ,with equal sum

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#integer-partitions

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