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A287085 Number of singular vector tuples for a general 9-dimensional {n}^9 tensor. 1
1, 362880, 4737782756017, 146830181787844853760, 6753239838803803486306487761, 389685915793550955923351453734807680, 26057203877175385471624399463506301352492241, 1932393393532020981741986795273501624377597577134080 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..8.

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=9 of A284308.

Sequence in context: A160319 A227671 A172536 * A071551 A181725 A195393

Adjacent sequences:  A287082 A287083 A287084 * A287086 A287087 A287088

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 19 2017

STATUS

approved

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Last modified October 26 06:08 EDT 2021. Contains 348257 sequences. (Running on oeis4.)