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A251598

Dimension of space of invariant tensors in 2n-th tensor power of natural representation of Sp(8).

1, 1, 3, 15, 105, 944, 10340, 133055, 1958060, 32279090, 586453658, 11589971918, 246518371679, 5594169454700, 134456679614850, 3402014360391645, 90146180439817440, 2490533922180210720, 71468389947184389600, 2123114263550335500000

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..19.

Juan B. Gil, Peter R. W. McNamara, Jordan O. Tirrell, and Michael D. Weiner, From Dyck paths to standard Young tableaux, arXiv:1708.00513 [math.CO], 2017.

FORMULA

0=256*(2*n-1)*(n-1)*(n+3)*(2*n-3)*a(n-2)-4*(2*n-1)*(10*n^3+137*n^2+521*n+432)*a(n-1)+(n+4)*(n+7)*(n+9)*(n+10)*a(n), (conjectured). - Michael D. Weiner, Apr 07 2016

PROG

(LiE) p_tensor(2*n, [1, 0, 0, 0], C4)|[0, 0, 0, 0]

CROSSREFS

Cf. A251593, A251594, A251596.

Sequence in context: A189919 A381145 A360579 * A338725 A295871 A293997

Adjacent sequences: A251595 A251596 A251597 * A251599 A251600 A251601

KEYWORD

nonn

AUTHOR

Bruce Westbury, Dec 05 2014

STATUS

approved

URL: https://oeis.org/A251598

⇱ A251598 - OEIS