* Fred lunnon <fred.lunnon@gmail.com> [Aug 20. 2010 08:19]:
On 8/19/10, Allan Wechsler <acwacw@gmail.com> wrote:
Please do submit them, Fred. On Wed, Aug 18, 2010 at 7:35 PM, Fred lunnon <fred.lunnon@gmail.com> wrote:
Since nobody else has done so, I propose to submit f_3(n) and f_4(n) to OEIS.
I have done so, including Michael's version 1 Mathematica and my final Magma programs.
As suggested by the OEIS instructions, I also fed the first 10, and later all 31, computed values of f_3(n) to superseeker; and received the following replies (fixed spacing) ---
<< Superseeker finds ... 2 3 [-27 + 27 a(n) - 9 a(n) + a(n) , lgdegf]
2 3 4 5 [-243 + 405 a(n) - 270 a(n) + 90 a(n) - 15 a(n) + a(n) , lgdegf]
where "lgdegf" stands for "logarithmic derivative of exponential generating function" The polynomials are simply (a(n) - 3)^3 and (a(n) - 3)^5 respectively.
It's possibly that superseeker has discovered something relatively important here --- unfortunately, I have no idea what that might be, can find no assistance in the documentation, and have failed to put any construction on the phrase which stands up to numerical confirmation.
Can somebody please enlighten me? Fred Lunnon
Cannot find "lgdegf" in any of the (program files) refd from http://oeis.org/classic/transforms.html so I suggest to ask NJAS via email (I thought he was on math-fun).
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