This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A321194 Regular triangle where T(n,k) is the number of non-isomorphic multiset partitions of weight n with k connected components. 8
 1, 3, 1, 6, 3, 1, 17, 12, 3, 1, 40, 35, 12, 3, 1, 125, 112, 45, 12, 3, 1, 354, 347, 148, 45, 12, 3, 1, 1159, 1122, 512, 163, 45, 12, 3, 1, 3774, 3651, 1724, 572, 163, 45, 12, 3, 1, 13113, 12320, 5937, 2020, 593, 163, 45, 12, 3, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA O.g.f.: Product 1/(1 - t*x^n)^A007718(n). EXAMPLE Triangle begins:       1       3     1       6     3     1      17    12     3     1      40    35    12     3     1     125   112    45    12     3     1     354   347   148    45    12     3     1    1159  1122   512   163    45    12     3     1    3774  3651  1724   572   163    45    12     3     1   13113 12320  5937  2020   593   163    45    12     3     1 The fourth row counts the following non-isomorphic multiset partitions.   {{1,1,1,1}}        {{1,1},{2,2}}      {{1},{2},{3,3}}    {{1},{2},{3},{4}}   {{1,1,2,2}}        {{1},{2,2,2}}      {{1},{2},{3,4}}   {{1,2,2,2}}        {{1},{2,3,3}}      {{1},{2},{3},{3}}   {{1,2,3,3}}        {{1,2},{3,3}}   {{1,2,3,4}}        {{1},{2,3,4}}   {{1},{1,1,1}}      {{1,2},{3,4}}   {{1,1},{1,1}}      {{1},{1},{2,2}}   {{1},{1,2,2}}      {{1},{1},{2,3}}   {{1,2},{1,2}}      {{1},{2},{2,2}}   {{1,2},{2,2}}      {{1},{3},{2,3}}   {{1,3},{2,3}}      {{1},{1},{2},{2}}   {{2},{1,2,2}}      {{1},{2},{2},{2}}   {{3},{1,2,3}}   {{1},{1},{1,1}}   {{1},{2},{1,2}}   {{2},{2},{1,2}}   {{1},{1},{1},{1}} CROSSREFS First column is A007718. Row sums are A007716. Cf. A006126, A048143, A143543, A306005, A316983, A317672, A317674, A319616, A321155. Sequence in context: A094504 A107884 A185628 * A158822 A226132 A121443 Adjacent sequences:  A321191 A321192 A321193 * A321195 A321196 A321197 KEYWORD nonn,tabl AUTHOR Gus Wiseman, Oct 29 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.

Last modified March 24 11:49 EDT 2019. Contains 321448 sequences. (Running on oeis4.)