[seqfan] Re: Semi group like system on A_{m,n}

[zbi74583.boat at orange.zero.jp]

    Hi,Seqfans
    I think that OEIS should have some sequences of A_{m,n} for small m,n.
    For example, 2<=m<=6 and 2<=n<=8
    The cases of m=n, OEIS have already for m=2,3,4

    I give some of my results.

    [ A_{2,4} ]

    5 ^ 9 * 7 ^ 2 * 11 ^ 4 * 17 ^ 2 * 19　* 29 ^ 2 * 67 * 71 ^ 2 * 109　* 131　* 1
39　* 179　* 307　* 431　* 521　* 653　* 1019　* 1279　* 2557　* 3221　* 5113　* 5
171　* 6949　*
　　[ 173 * 1933058921 * 149 * 103540742849 ]
　　[ 173 * 1933058921 * 15531111427499　　　]
　　[ 336352252427　　 * 149 * 103540742849　]
　　[ 336352252427　　 * 15531111427499　　　 ]

    [ A_{4,2} ]
    ex.1

2^2*3^2*5*11*13*19*59*71*227*283*383*907*1531*12979*119723*493201*9763386579451403
9*1757409584301252701*23872651793148216690383*1145887286071114401138383*[660031076776961895055708607]
                                                                       [23*27501294865706745627321191]


　　　　　　　　　　　　　　　　　　　 146 digits

　　 ex.2

2^2*3^2*5*11*13*19*59*71*227*283*383*907*1531*12979*119723*493201*9763386579451403
9*1757409584301252701*23872651793148216690383*[13750647432853372813660607]
                                              [23*572943643035557200569191]

　　　　　　　　　　　　　　　　　　　121 digits

    I am interested in the records of A_{m,n} so these don't fit to OEIS.
    I try to compute smaller one.

    I got two examples by hand in 5 minute.

    2^5*3^2*7*13*[5*11]
                 [71  ]

    2^9*3^3*5*31*[7*23]
                 [191 ]

    I wonder if these are the smallest two terms of A_[4,2} sequense.

    Donovan computed the terms of A_{5,5}.
    If he were here  I would ask him to compute the term  of A_{4,2}.
    But he is now in Heaven.

    Could anyone compute more terms of A_{2,4} or A_{4,2} or A_{6,2} or A_{6,3}?



    Yasutoshi