Question

Prove that $p_2(n) = \left \lfloor{\frac{n}{2}}\right \rfloor+1$ using identity

score 84 · Answer 1 · 2018-05-23 11:05:05

84

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Prove that $p_2(n) = \left \lfloor{\frac{n}{2}}\right \rfloor+1$ using identity

Published on 23 May 2018 - 11:05

score 116 · Answer 2 · 2018-05-24 11:48:52

116

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Partitions of numbers - Combinatorics

Published on 24 May 2018 - 11:48

score 144 · Answer 3 · 2018-05-24 15:12:40

144

Views

Why is this the generating function for the set of partition numbers?

Published on 24 May 2018 - 15:12

score 118 · Answer 4 · 2018-05-24 16:27:22

118

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Partitions of numbers

Published on 24 May 2018 - 16:27

score 328 · Answer 5 · 2018-05-29 12:24:32

328

Views

Add together numbers to make final number?

Published on 29 May 2018 - 12:24

score 390 · Answer 6 · 2018-06-02 16:35:14

390

Views

Number of partitions of $n$ with Durfee square of size $k$

Published on 02 Jun 2018 - 16:35

score 73 · Answer 7 · 2018-06-03 23:56:17

73

Views

Non-greedy method of partitioning numbers

Published on 03 Jun 2018 - 23:56

score 861 · Answer 8 · 2026-03-22 16:34:53

861

Views

Proving an Upper Bound on the Number of Partitions of $n$ into $m$ Parts

Published on 22 Mar 2026 - 16:34

score 219 · Answer 9 · 2018-06-28 08:56:26

219

Views

Newman's proof of the Asymptotic Formula for the Partition Function

Published on 28 Jun 2018 - 8:56

score 164 · Answer 10 · 2026-03-20 11:12:27

164

Views

expanding $\prod_{n=1}^{\infty}\frac{(1-x^n)(1-x^{adn})}{(1-x^{dn})}$

Published on 20 Mar 2026 - 11:12

score 235 · Answer 11 · 2026-03-25 02:28:48

235

Views

Simplified $\sum_{n=a_1k_1+a_2k_2+\cdots+a_mk_m}\frac{(a_1+a_1+\cdots+a_m)!}{a_1!\cdot a_2!\cdots a_m!}\prod_{i=1}^m \left(f(k_i)\right)^{a_i}$

Published on 25 Mar 2026 - 2:28

score 226 · Answer 12 · 2018-07-20 19:39:58

226

Views

The number of way to distribute n indistinguishable balls into k indistinguishable boxes arbitrarily

Published on 20 Jul 2018 - 19:39

score 2.3k · Answer 13 · 2018-07-20 21:57:14

2.3k

Views

Counting number of ways a number can be written as the sum of distinct numbers within a certain range

Published on 20 Jul 2018 - 21:57

score 219 · Answer 14 · 2018-07-25 11:28:02

219

Views

Partition of n into k distinct partitions modulo $p$

Published on 25 Jul 2018 - 11:28

score 89 · Answer 15 · 2018-07-25 19:46:29

89

Views

no of non negative solutions of equation a+b+c+...n variables=N where a<=b<=c<=d<=....

Published on 25 Jul 2018 - 19:46

List Question

Prove that $p_2(n) = \left \lfloor{\frac{n}{2}}\right \rfloor+1$ using identity

Partitions of numbers - Combinatorics

Why is this the generating function for the set of partition numbers?

Partitions of numbers

Add together numbers to make final number?

Number of partitions of $n$ with Durfee square of size $k$

Non-greedy method of partitioning numbers

Proving an Upper Bound on the Number of Partitions of $n$ into $m$ Parts

Newman's proof of the Asymptotic Formula for the Partition Function

expanding $\prod_{n=1}^{\infty}\frac{(1-x^n)(1-x^{adn})}{(1-x^{dn})}$

Simplified $\sum_{n=a_1k_1+a_2k_2+\cdots+a_mk_m}\frac{(a_1+a_1+\cdots+a_m)!}{a_1!\cdot a_2!\cdots a_m!}\prod_{i=1}^m \left(f(k_i)\right)^{a_i}$

The number of way to distribute n indistinguishable balls into k indistinguishable boxes arbitrarily

Counting number of ways a number can be written as the sum of distinct numbers within a certain range

Partition of n into k distinct partitions modulo $p$

no of non negative solutions of equation a+b+c+...n variables=N where a<=b<=c<=d<=....

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