A287083 Number of singular vector tuples for a general 7-dimensional {n}^7 tensor.

1, 5040, 260415373, 24874143759360, 3160621587907016605, 473787689225018384094480, 79118094349714452632485774477, 14256246398333360805158745610321920, 2718180337074137745147914900104417897849, 541385910515057381740441349336869933006303200

Offset

1,2

Links

Table of n, a(n) for n=1..10.

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=7 of A284308.

Sequence in context: A227669 A010800 A172544 * A158039 A071549 A181752

Adjacent sequences: A287080 A287081 A287082 * A287084 A287085 A287086

Keyword

nonn

Author

Alois P. Heinz, May 19 2017

Status

approved