The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A300118 Number of skew partitions whose quotient diagram is connected and whose numerator is the integer partition with Heinz number n. 5
 1, 2, 3, 3, 4, 4, 5, 4, 6, 5, 6, 5, 7, 6, 7, 5, 8, 7, 9, 6, 8, 7, 10, 6, 10, 8, 10, 7, 11, 8, 12, 6, 9, 9, 11, 8, 13, 10, 10, 7, 14, 9, 15, 8, 11, 11, 16, 7, 15, 11, 11, 9, 17, 11, 12, 8, 12, 12, 18, 9, 19, 13, 12, 7, 13, 10, 20, 10, 13, 12, 21, 9, 22, 14, 15, 11 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The diagram of a connected skew partition is required to be connected as a polyomino but can have empty rows or columns. LINKS EXAMPLE The a(15) = 7 denominators are (), (1), (11), (22), (3), (31), (32) with diagrams: o o o . o o . o o . . o . . . . . . o o o o o o o . o . . o o . o o o Missing are the two disconnected skew partitions: . . o . . o o o . o MATHEMATICA primeMS[n_]:=If[n===1, {}, Flatten[Cases[FactorInteger[n], {p_, k_}:>Table[PrimePi[p], {k}]]]]; undcon[y_]:=Select[Tuples[Range[0, #]&/@y], Function[v, GreaterEqual@@v&&With[{r=Select[Range[Length[y]], y[[#]]=!=v[[#]]&]}, Or[Length[r]<=1, And@@Table[v[[i]]

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

Last modified February 7 22:58 EST 2023. Contains 360132 sequences. (Running on oeis4.)