Question

For what $n$ can $\{1, 2,\ldots, n\}$ be partitioned into equal-sized sets $A$, $B$ such that $\sum_{k\in A}k^p=\sum_{k\in B}k^p$ for $p=1, 2, 3$?

score 246 · Answer 1 · 2019-06-04 22:02:50

246

Views

For what $n$ can $\{1, 2,\ldots, n\}$ be partitioned into equal-sized sets $A$, $B$ such that $\sum_{k\in A}k^p=\sum_{k\in B}k^p$ for $p=1, 2, 3$?

Published on 04 Jun 2019 - 22:02

score 196 · Answer 2 · 2026-03-25 12:46:05

196

Views

Which integer partitions correspond to the most set partitions?

Published on 25 Mar 2026 - 12:46

score 42 · Answer 3 · 2019-06-07 18:17:28

42

Views

partition function - using each number once and using only odd numbers

Published on 07 Jun 2019 - 18:17

score 37 · Answer 4 · 2019-06-09 09:17:59

37

Views

An interesting way of partitioning with inner ordered combinations

Published on 09 Jun 2019 - 9:17

score 44 · Answer 5 · 2019-06-18 07:06:51

44

Views

Partitions with multiplicity locally restricted

Published on 18 Jun 2019 - 7:06

score 303 · Answer 6 · 2019-06-21 01:02:23

303

Views

The number of restricted Integer Partitions (with triple restriction)

Published on 21 Jun 2019 - 1:02

score 102 · Answer 7 · 2019-06-24 01:03:29

102

Views

Partitions of an integer with polynomials

Published on 24 Jun 2019 - 1:03

score 70 · Answer 8 · 2019-06-24 17:29:03

70

Views

Extraction of coefficient from Generating Function with partitions

Published on 24 Jun 2019 - 17:29

score 71 · Answer 9 · 2019-06-26 16:03:21

71

Views

Number of partitions of $n$ with restrictions

Published on 26 Jun 2019 - 16:03

score 80 · Answer 10 · 2019-06-26 16:59:40

80

Views

Coefficient of Generating Function

Published on 26 Jun 2019 - 16:59

score 41 · Answer 11 · 2019-06-26 17:36:12

41

Views

Integer Partitions of $~n~$ with restrictions.

Published on 26 Jun 2019 - 17:36

score 25 · Answer 12 · 2019-06-27 08:37:56

25

Views

Making a group of $p$ people with $n$ available nationalities

Published on 27 Jun 2019 - 8:37

score 201 · Answer 13 · 2019-06-30 00:34:36

201

Views

Book Recommendations - Discrete Mathematics and Partitions of an Integer

Published on 30 Jun 2019 - 0:34

score 219 · Answer 14 · 2019-06-30 21:35:14

219

Views

Expressing a positive integer as a sum of 3 positive integers

Published on 30 Jun 2019 - 21:35

score 156 · Answer 15 · 2019-07-05 12:39:41

156

Views

Upper bound for the number of partitions of $n$ into exactly $k$ parts

Published on 05 Jul 2019 - 12:39

List Question

For what $n$ can $\{1, 2,\ldots, n\}$ be partitioned into equal-sized sets $A$, $B$ such that $\sum_{k\in A}k^p=\sum_{k\in B}k^p$ for $p=1, 2, 3$?

Which integer partitions correspond to the most set partitions?

partition function - using each number once and using only odd numbers

An interesting way of partitioning with inner ordered combinations

Partitions with multiplicity locally restricted

The number of restricted Integer Partitions (with triple restriction)

Partitions of an integer with polynomials

Extraction of coefficient from Generating Function with partitions

Number of partitions of $n$ with restrictions

Coefficient of Generating Function

Integer Partitions of $~n~$ with restrictions.

Making a group of $p$ people with $n$ available nationalities

Book Recommendations - Discrete Mathematics and Partitions of an Integer

Expressing a positive integer as a sum of 3 positive integers

Upper bound for the number of partitions of $n$ into exactly $k$ parts

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