List questions from integer-partitions

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Number of equivalent partitions

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Can anyone provide a link to an online partition calculator?

Published on 27 Mar 2026 - 12:13

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Partition Proving

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Combinatorial interpretation of $\prod_{i\geq 1} (1-q^i)$ in terms of partitions

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Compositions and Partitions

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Interpretation of $\prod_{i\geq 1} \frac{1}{1-tx^i}$

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Partitions and Truncations

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Ferrers Diagram Partition

Published on 06 Nov 2016 - 12:43

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Does there always exist a refinement of a partition that is regular?

Published on 06 Nov 2016 - 16:56

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$P(x)=\sum_{n=0}^{\infty} p_nx^n=1+x+2x^2+3x^3+5x^4+7x^5+11x^6+\cdots$ and $Q(x)=\sum_{n=0}^{\infty} q_nx^n.$ What is $\dfrac{Q(x)}{P(x)}$?

Published on 08 Nov 2016 - 21:19

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Sum over partitions

Published on 09 Nov 2016 - 12:31

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Ramanujan's congruence.

Published on 13 Nov 2016 - 11:59

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bipartite graph with vertex partition?

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For each integer $n > 2$ determine a self-conjugate partition of $n$ that has at least two parts.

Published on 15 Nov 2016 - 18:14

List Question

Low difference between sums of blocks

Number of equivalent partitions

Can anyone provide a link to an online partition calculator?

Partition Proving

Combinatorial interpretation of $\prod_{i\geq 1} (1-q^i)$ in terms of partitions

Compositions and Partitions

Interpretation of $\prod_{i\geq 1} \frac{1}{1-tx^i}$

Partitions and Truncations

Ferrers Diagram Partition

Does there always exist a refinement of a partition that is regular?

$P(x)=\sum_{n=0}^{\infty} p_nx^n=1+x+2x^2+3x^3+5x^4+7x^5+11x^6+\cdots$ and $Q(x)=\sum_{n=0}^{\infty} q_nx^n.$ What is $\dfrac{Q(x)}{P(x)}$?

Sum over partitions

Ramanujan's congruence.

bipartite graph with vertex partition?

For each integer $n > 2$ determine a self-conjugate partition of $n$ that has at least two parts.

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