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A082037 A square array of linear-factorial numbers, read by antidiagonals. 4

%I

%S 1,1,1,1,2,2,1,3,6,6,1,4,10,24,24,1,5,14,42,120,120,1,6,18,60,216,720,

%T 720,1,7,22,78,312,1320,5040,5040,1,8,26,96,408,1920,9360,40320,40320,

%U 1,9,30,114,504,2520,13680,75600,362880,362880

%N A square array of linear-factorial numbers, read by antidiagonals.

%C Rows include A000142(n), A000142(n+1), A007680, A082033, A082034. Columns include 2!*A005408(n),3!*A016777(n),4!*A016813(n),5!*A016861. Main diagonal is A082042.

%F Square array defined by T(n, k)=(kn+1)n!

%e Rows begin

%e 1 1 2 6 ....

%e 1 2 6 24 ...

%e 1 3 10 42 ...

%e 1 4 14 60 ...

%e 1 5 18 78 ...

%Y Cf. A077038.

%K easy,nonn,tabl

%O 0,5

%A _Paul Barry_, Apr 02 2003

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Last modified August 8 05:25 EDT 2020. Contains 336290 sequences. (Running on oeis4.)