permutation

[y.kohmoto]

    Hello, seqfans.
    [A permutation of natural number more than 2.]

    I am going to send the following sequence to OEIS.

    a(n)           2, 3, 4, 5, 9, 6, 7, 25, 15, 8, 11, 49, 35, 21, 10, 13,
121, 77, 55, 27, 12,
                   17, 169, 143, 91, 65, 33, 14,
    b(n)           2, 9, 35, 91, 209,
    c(n)            2, 4, 6, 9, 5, 8, 15, 25, 7, 10, 21, 35, 49, 11

                   an array

                   2,   4,   6,   8,   10,   12,   14,   16
                   3,   9,  15,  21,   27,   33
                   5,  25,  35,  55,   65,
                   7,  49,  77,  91,  119,
                   11, 121, 143, 187, 209,
                   13, 169,  221,
                   17, 289,

    n-th line is a sequence of integers whose smallest prime factor is
Prime(n).


    a(n) is defined as follows on the above array.
    a(1), a(3), a(6), a(10),
    a(2), a(5), a(9),
    a(4), a(8),
    a(7),
    But with my ability of English and knowledge of mathematics, it is
difficult for me to describe compactly the definition of this sequence.
    Tell me how to write it.

    b(n) is the diagonal sequence of the array and defined easily as
follows.
    b(n) = Prime(n)*Prime(2*n-2)

    c(n) is a symmetry of a(n).

   Yasutoshi