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A133349
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Dimensions of certain Lie algebra (see reference for precise definition).
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1
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1, 44, 891, 11440, 106964, 787644, 4803656, 25126816, 115640460, 477409504, 1794876116, 6219677664, 20060380120, 60709045100, 173556446580, 471387879600, 1222309899525, 3038581131300, 7268211039375, 16781568991200, 37505964810600, 81340096523400
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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; t72b:= proc(a, k) ((a+k+1)/(a+1)) * b(k+2*a+1, k)*b(k+3*a/2+1, k)/(b(k+a/2, k)); end; [seq(t72b(6, k), k=0..28)];
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MATHEMATICA
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t72b[a_, k_] := (a+k+1) / (a+1) Binomial[k+2a+1, k] Binomial[k+3/2a+1, k] / Binomial[k+a/2, k];
Array[t72b[6, #]&, 30, 0] (* Paolo Xausa, Jan 09 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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