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A287084
Number of singular vector tuples for a general 8-dimensional {n}^8 tensor.
1
1, 40320, 31088448777, 50257106410291200, 114196733016257979480401, 315745472497043733378660720000, 992004278721114611076713896739874457, 3409699209687052091502059492845005192560640, 12527584332978774512983761712826111596464807512481
OFFSET
1,2
LINKS
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
KEYWORD
nonn
AUTHOR
Alois P. Heinz, May 19 2017
STATUS
approved