correction of terms of A089243

y.kohmoto zbi74583 at boat.zero.ad.jp
Sat Jan 17 10:56:26 CET 2004


    Hello, seqfans.
    To Neil :

    The corrected terms are as follows. A(5) and A(6) were false.
    I am sure  these numbers are correct.

    %S A089243 0, 1, 3, 4, 9, 22, 55

         ----------

    The partition into strokes is an abstraction of Kanji's representation,
so some of Kanji have irregularity.
    But, for an  explanation of the idea, those irregular Kanjis are not
good example.

    example.1.

    ._._.   names of nodes   0  1
    |_._|                                  2  3

    a partition for Kanji "Kuchi" :
    (0->2, 0->1->3, 2->3)
    di-paths 0->2 and 2->3 are not  strokes, because they are parts of the
other di-path.

    example.2.

    ._._._._.       names of nodes     0  1  2
    |_._|_._|                                         3  4  5
    |_._|_._|                                         6  7  8

    a partition for Kanji "Ta"
    (0->3->6, 0->1->2->5->8, 3->4->5, 1->4->7, 6->7->8)
    di-paths 0->3->6 and 6->7->8 are not  strokes.

    I apologize to you that I used these example.
    I think you were confused.

    good examples :
    example.4.
    a star graph of four edges
    "+"            names of nodes      1
                                                  4  0  2
                                                     3
    a partition for Kanji "Ju" which means ten. it is the same thing as
"plus"
    (4->0->2, 1->0->3)

    a star graph of  six edges
    "*"            names of nodes   6  1  2
                                                     0
                                                5  4  3
    a partition for Kanji "Ki" which means a tree. it is really a tree graph
    (6->0->2, 1->0->4, 0->5, 0->3)

    Yasutoshi







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