A143901 Rectangular array R by antidiagonals: R(m,n) = floor((m*n+1)/2).

1, 1, 1, 2, 2, 2, 2, 3, 3, 2, 3, 4, 5, 4, 3, 3, 5, 6, 6, 5, 3, 4, 6, 8, 8, 8, 6, 4, 4, 7, 9, 10, 10, 9, 7, 4, 5, 8, 11, 12, 13, 12, 11, 8, 5, 5, 9, 12, 14, 15, 15, 14, 12, 9, 5, 6, 10, 14, 16, 18, 18, 18, 16, 14, 10, 6, 6, 11, 15, 18, 20, 21, 21, 20, 18, 15, 11, 6, 7, 12, 17, 20, 23, 24, 25, 24

Offset: 1

Author

Clark Kimberling, Sep 04 2008

Keywords

• nonn
• tabl

Comments

Old name was: R(m,n) = number of white squares.

Examples

			Northwest corner:
1 1 2 2 3 3 4 4
1 2 3 4 5 6 7 8
2 3 5 6 8 9 11 12
2 4 6 8 10 12 14 16
		

Crossrefs

Cf. A143902.

Antidiagonal sums: (1,2,6,10,19,...)=A005993.

Diagonals: A000982, A000217, A007590, A000096, A116940.

Rows and columns: A004526, A000027, A007494, A005843, A047218 et al.

Extensions

Entry revised by N. J. A. Sloane, Jun 12 2015