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

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, 720, 1, 7, 22, 78, 312, 1320, 5040, 5040, 1, 8, 26, 96, 408, 1920, 9360, 40320, 40320, 1, 9, 30, 114, 504, 2520, 13680, 75600, 362880, 362880

Offset

0,5

Comments

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.

Links

Table of n, a(n) for n=0..54.

Formula

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

Example

Rows begin
1 1 2 6 ....
1 2 6 24 ...
1 3 10 42 ...
1 4 14 60 ...
1 5 18 78 ...

Crossrefs

Cf. A077038.

Sequence in context: A158825 A247507 A107111 * A163649 A110858 A008279

Adjacent sequences: A082034 A082035 A082036 * A082038 A082039 A082040

Keyword

easy,nonn,tabl

Author

Paul Barry, Apr 02 2003

Status

approved