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A215687
Number of solid standard Young tableaux of shape [[2*n,2],[2]].
2
0, 16, 174, 690, 1876, 4140, 7986, 14014, 22920, 35496, 52630, 75306, 104604, 141700, 187866, 244470, 312976, 394944, 492030, 605986, 738660, 891996, 1068034, 1268910, 1496856, 1754200, 2043366, 2366874, 2727340, 3127476, 3570090, 4058086, 4594464, 5182320
OFFSET
0,2
LINKS
FORMULA
G.f.: 2*(3*x^3-10*x^2+47*x+8)*x/(1-x)^5.
a(n) = n*(2*n-1)*(2*n^2+7*n+7).
MAPLE
a:= n-> (-7+(7+(12+4*n)*n)*n)*n;
seq(a(n), n=0..40);
MATHEMATICA
LinearRecurrence[{5, -10, 10, -5, 1}, {0, 16, 174, 690, 1876}, 40] (* Harvey P. Dale, Jul 08 2017 *)
CROSSREFS
Row n=2 of A176129.
Sequence in context: A021174 A021374 A253343 * A187720 A017931 A021129
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Aug 20 2012
STATUS
approved