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A208618
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Number of Young tableaux with 5 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).
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1
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1, 1, 126, 7572, 1725819, 705002611, 396803649991, 278635710716650, 231474950997766763, 219738417947792525211, 232553597317851557785623, 269396684883944249352055973, 336839101974197524267892335361, 449620757900366812848744648452561
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OFFSET
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0,3
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COMMENTS
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Also the number of (5*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (5,5,...,5) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_n) we have p_1<=p_2<=...<=p_n or p_1>=p_2>=...>=p_n.
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LINKS
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CROSSREFS
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KEYWORD
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nonn,walk
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AUTHOR
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STATUS
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approved
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