static void OeisPartitions()
{
var t = Partitions.PartitionTree(6);
var tour = new Tour(t);
Console.WriteLine("A228100 (Fenner-Loizou tree, level order)");
Traverse(tour, Traversal.PostOrder, Visitor.Conjugate, Direction.RightLeft);
//Traverse(tour, Traversal.LevelOrder, Visitor.Partition, Direction.LeftRight);
Console.ReadLine();
Console.WriteLine("A036036 (Hindenburg, Abramowitz-Stegun)");
Traverse(tour, Traversal.PreOrder, Visitor.ReverseConjugate, Direction.LeftRight);
//Traverse(tour, Traversal.BranchOrder, Visitor.ReverseConjugate, Direction.RightLeft);
Console.ReadLine();
Console.WriteLine("A080577 (Mathematica, Sage, Magma)");
Traverse(tour, Traversal.PostOrder, Visitor.Partition, Direction.RightLeft);
//Traverse(tour, Traversal.LevelOrder, Visitor.Conjugate, Direction.LeftRight);
Console.ReadLine();
Console.WriteLine("A080576 (Maple)");
Traverse(tour, Traversal.PreOrder, Visitor.Reverse, Direction.LeftRight);
//Traverse(tour, Traversal.BranchOrder, Visitor.Reverse, Direction.RightLeft);
Console.ReadLine();
Console.WriteLine("A036037");
Traverse(tour, Traversal.PreOrder, Visitor.Conjugate, Direction.LeftRight);
//Traverse(tour, Traversal.BranchOrder, Visitor.Conjugate, Direction.RightLeft);
Console.ReadLine();
Console.WriteLine("A182937");
Traverse(tour, Traversal.PreOrder, Visitor.Partition, Direction.RightLeft);
//Traverse(tour, Traversal.BranchOrder, Visitor.Partition, Direction.LeftRight);
Console.ReadLine();
Console.WriteLine("A193073");
Traverse(tour, Traversal.PreOrder, Visitor.Partition, Direction.LeftRight);
//Traverse(tour, Traversal.BranchOrder, Visitor.Partition, Direction.RightLeft);
Console.ReadLine();
ShowAllTraversals(t);
Console.ReadLine();
// Prime-encodings
// A036035, A059901, A063008, A227955, A228099
}
private void buttonRun_Click(object sender, EventArgs e)
{
seq = comboBoxOEIS.SelectedIndex;
if (seq > 0)
{
var oeis = Generator.oeis;
WriteLineToBox(oeis[seq - 1].Item1);
}
if (n != lastn)
{
tree = Partitions.PartitionTree(n);
lastn = n;
}
var tour = new Tour(tree);
Generator.Traverse(tour, traversal, visitor, direction);
var count = tree.Count(tree.GetRoot()).ToString();
WriteLineToBox("Number of partitions: " + count);
WriteLineToBox("");
}