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A287084 Number of singular vector tuples for a general 8-dimensional {n}^8 tensor. 1


%S 1,40320,31088448777,50257106410291200,114196733016257979480401,

%T 315745472497043733378660720000,992004278721114611076713896739874457,

%U 3409699209687052091502059492845005192560640,12527584332978774512983761712826111596464807512481

%N Number of singular vector tuples for a general 8-dimensional {n}^8 tensor.

%H Shalosh B. Ekhad and Doron Zeilberger, <a href="http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/svt.html">On the Number of Singular Vector Tuples of Hyper-Cubical Tensors</a>, 2016; also arXiv preprint arXiv:1605.00172, 2016.

%H Shmuel Friedland and Giorgio Ottaviani, <a href="http://dx.doi.org/10.1007/s10208-014-9194-z">The number of singular vector tuples and uniqueness of best rank-one approximation of tensors</a>, Found. Comput. Math. 14 (2014), no. 6, 1209-1242.

%H Bernd Sturmfels, <a href="http://www.ams.org/publications/journals/notices/201606/rnoti-p604.pdf">Tensors and Their Eigenvalues</a>, Notices AMS, 63 (No. 6, 2016), 606-606.

%Y Column k=8 of A284308.

%K nonn

%O 1,2

%A _Alois P. Heinz_, May 19 2017

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Last modified January 27 16:30 EST 2022. Contains 350608 sequences. (Running on oeis4.)