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A133241
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Dimensions of certain Lie algebra (see reference for precise definition).
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2
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1, 190, 15504, 749360, 24732110, 605537790, 11619550320, 181746027600, 2386644625950, 26923893369075, 265762390788000, 2330056309932000, 18372187417457250, 131651129456894250, 865026329992488000, 5251754282090616000, 29657709797595709500, 156694210053607278000
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OFFSET
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0,2
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LINKS
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MAPLE
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b:=binomial; t71:= proc(a, k) ((3*a+2*k+5)/(3*a+5)) * b(k+2*a+3, k)*b(k+5*a/2+3, k)*b(k+3*a+4, k)/(b(k+a/2+1, k)*b(k+a+1, k)); end; [seq(t71(6, k), k=0..30)];
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MATHEMATICA
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t71[a_, k_] := (3a+2k+5) / (3a+5) Binomial[k+2a+3, k] Binomial[k+5/2a+3, k] Binomial[k+3a+4, k] / (Binomial[k+a/2+1, k] Binomial[k+a+1, k]);
Array[t71[6, #]&, 30, 0] (* Paolo Xausa, Jan 11 2024 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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