login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A322789 Irregular triangle read by rows where if d|n then T(n,d) is the number of non-isomorphic uniform multiset partitions of a multiset with d copies of each integer from 1 to n/d. 1
1, 2, 2, 2, 2, 3, 4, 3, 2, 2, 4, 7, 6, 4, 2, 2, 4, 10, 8, 4, 3, 7, 3, 4, 12, 8, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A multiset partition is uniform if all parts have the same size.

LINKS

Table of n, a(n) for n=1..27.

EXAMPLE

Triangle begins:

  1

  2  2

  2  2

  3  4  3

  2  2

  4  7  6  4

  2  2

  4 10  8  4

  3  7  3

  4 12  8  4

Non-isomorphic representatives of the multiset partitions counted under row 6:

{123456}           {112233}           {111222}           {111111}

{123}{456}         {112}{233}         {111}{222}         {111}{111}

{12}{34}{56}       {123}{123}         {112}{122}         {11}{11}{11}

{1}{2}{3}{4}{5}{6} {11}{22}{33}       {11}{12}{22}       {1}{1}{1}{1}{1}{1}

                   {11}{23}{23}       {12}{12}{12}

                   {12}{13}{23}       {1}{1}{1}{2}{2}{2}

                   {1}{1}{2}{2}{3}{3}

CROSSREFS

Row sums are A319056. First column is A000005.

Cf. A001055, A005176, A056239, A072774, A100778, A295193, A306017, A306018, A319190, A319612, A322784, A322785, A322787, A322792.

Sequence in context: A171931 A221530 A262944 * A069904 A164978 A119789

Adjacent sequences:  A322786 A322787 A322788 * A322790 A322791 A322792

KEYWORD

nonn,tabf,more

AUTHOR

Gus Wiseman, Dec 26 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 18 01:03 EDT 2019. Contains 328135 sequences. (Running on oeis4.)