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A105725
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Triangle read by rows: T(n,k)=(n+k)!/k! (0<=k<=n-1; n>=1).
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3
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1, 2, 6, 6, 24, 60, 24, 120, 360, 840, 120, 720, 2520, 6720, 15120, 720, 5040, 20160, 60480, 151200, 332640, 5040, 40320, 181440, 604800, 1663200, 3991680, 8648640, 40320, 362880, 1814400, 6652800, 19958400, 51891840, 121080960, 259459200
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OFFSET
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1,2
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COMMENTS
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LINKS
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FORMULA
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T(n, k)=(n+k)!/k! (0<=k<=n-1; n>=1).
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EXAMPLE
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1
2 6
6 24 60
24 120 360 840
120 720 2520 6720 15120
720 5040 20160 60480 151200 332640
5040 40320 181440 604800 1663200 3991680 8648640
40320 362880 1814400 6652800 19958400 51891840 121080960 259459200
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MAPLE
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T:=proc(n, k) if k<n then (n+k)!/k! else 0 fi end: for n from 1 to 9 do seq(T(n, k), k=0..n-1) od; # yields sequence in triangular form
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CROSSREFS
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KEYWORD
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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