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

1, 40320, 31088448777, 50257106410291200, 114196733016257979480401, 315745472497043733378660720000, 992004278721114611076713896739874457, 3409699209687052091502059492845005192560640, 12527584332978774512983761712826111596464807512481

Offset

1,2

Links

Table of n, a(n) for n=1..9.

Shalosh B. Ekhad and Doron Zeilberger, On the Number of Singular Vector Tuples of Hyper-Cubical Tensors, 2016; also arXiv preprint arXiv:1605.00172, 2016.

Shmuel Friedland and Giorgio Ottaviani, The number of singular vector tuples and uniqueness of best rank-one approximation of tensors, Found. Comput. Math. 14 (2014), no. 6, 1209-1242.

Bernd Sturmfels, Tensors and Their Eigenvalues, Notices AMS, 63 (No. 6, 2016), 606-606.

Crossrefs

Column k=8 of A284308.

Sequence in context: A160318 A227670 A172541 * A071550 A181724 A072269

Adjacent sequences: A287081 A287082 A287083 * A287085 A287086 A287087

Keyword

nonn

Author

Alois P. Heinz, May 19 2017

Status

approved