A268040 Array y AND NOT x, read by antidiagonals.

0, 0, 1, 0, 0, 2, 0, 1, 2, 3, 0, 0, 0, 2, 4, 0, 1, 0, 1, 4, 5, 0, 0, 2, 0, 4, 4, 6, 0, 1, 2, 3, 4, 5, 6, 7, 0, 0, 0, 2, 0, 4, 4, 6, 8, 0, 1, 0, 1, 0, 1, 4, 5, 8, 9, 0, 0, 2, 0, 0, 0, 2, 4, 8, 8, 10, 0, 1, 2, 3, 0, 1, 2, 3, 8, 9, 10, 11, 0, 0, 0, 2, 4, 0, 0, 2, 8, 8, 8, 10, 12

Offset: 0

Author

Peter Kagey, Jan 24 2016

Keywords

• nonn
• tabl
• look

Comments

This is one of eight bitwise truth tables subject to the condition that (0, 0) implies 0.

# | A000004 | A004198 | A099026 | A025581

# -------|---------|---------|---------|---------

# (0, 0) | 0 | 0 | 0 | 0

# (0, 1) | 0 | 0 | 0 | 0

# (1, 0) | 0 | 0 | 1 | 1

# (1, 1) | 0 | 1 | 0 | 1

#

# | A268040 | A002262 | A003987 | A003986

# -------|---------|---------|---------|---------

# (0, 0) | 0 | 0 | 0 | 0

# (0, 1) | 1 | 1 | 1 | 1

# (1, 0) | 0 | 0 | 1 | 1

# (1, 1) | 0 | 1 | 0 | 1

Transpose of the array in A099026. - Michel Marcus, Jan 25 2016

Examples

			The array begins:
0, 1, 2, 3, 4, 5, ...
0, 0, 2, 2, 4, 4, ...
0, 1, 0, 1, 4, 5, ...
0, 0, 0, 0, 4, 4, ...
0, 1, 2, 3, 0, 1, ...
0, 0, 2, 2, 0, 0, ...
...
		

Links

• Peter Kagey, Table of n, a(n) for n = 0..8191

Crossrefs

Cf. A000004, A004198, A099026, A025581, A003987, A002262, A003986.

Programs

PARI

T(x, y)=bitnegimply(y, x) \\ Michel Marcus, Jan 25 2016