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A208626
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Number of Young tableaux with n 6-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, 133, 87781, 140422657, 396803649991, 1672481205752413, 9493821912766657291, 67887185669916054862201, 583831478578178958083979415, 5839732221336989894541552143065, 66255973840780250383847420304675775, 836422943559727759153797800333684916889
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OFFSET
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0,3
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COMMENTS
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Also the number of (6*n-1)-step walks on 6-dimensional cubic lattice from (1,0,...,0) to (n,n,...,n) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_6) we have p_1<=p_2<=...<=p_6 or p_1>=p_2>=...>=p_6.
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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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