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 A105725 Triangle read by rows: T(n,k)=(n+k)!/k! (0<=k<=n-1; n>=1). 3
 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS T(n,n-1)=(2n-1)!/(n-1)! (A000407); T(n,0)=n! (A000142); Row sums yield A092956; Arithmetic means of the rows yield A001761. Has many diagonals in common with A068424. - Zerinvary Lajos, Apr 14 2006 LINKS FORMULA T(n, k)=(n+k)!/k! (0<=k<=n-1; n>=1). EXAMPLE 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 MAPLE T:=proc(n, k) if k

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