I'm still opposed to an OEIS wiki

Joerg Arndt arndt at jjj.de
Fri May 9 13:29:49 CEST 2008


so the guesswork can be kept near zero.
submitter cannot/does-not clean up sufficiently.
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Date: Fri, 9 May 2008 14:10:19 +0200
From: Joerg Arndt <arndt at jjj.de>
To: seqfan at ext.jussieu.fr
Subject: warning about assuming prime related seqs have rational OGF
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 COMMENT Joerg Arndt A000720
s=-z*(-1-z-z^3-z^5+z^6+z^7)/(1+z)/(z^2-z+1)/(z^2+z+1)/(z-1)^2 +O(z^(N+1));
 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2,
 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3]
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Subject: Quadratic Amicable
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    Neil

    Do you want the sequences of solutions of the following equation?

    Sigma(x) = Sigma(y) = k*(x^2 + m*y^2)/(n*x + y)

                         Where k = integer or 1/integer  
    k=4, m=3, n=7

    x = 2^14 * 7 * 31 * 3 * 5
    y = 2^14 * 7 * 31 * 23 

    k=1/2, m=15, n=3

    x = 2^8 * 7 * 19 * 37 * 73 * 3 * 5
    y = 2^8 * 7 * 19 * 37 * 73 * 23

    x = 2^14 * 7 * 19 * 31 * 151 * 3 * 5
    y = 2^14 * 7 * 19 * 31 * 151 * 23

    k=1/14, m=20, n=1

    x = 3^4 * 11^2 * 19 * 2 * 5
    y = 3^4 * 11^2 * 19 * 17



    I calculated them by hand.
    If you want it then I will search their terms.




    Yasutoshi
    





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