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

0,6

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

Links

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

Example

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, ...
...

Prog

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

Crossrefs

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

Sequence in context: A128584 A327853 A080099 * A127711 A336937 A069584

Adjacent sequences: A268037 A268038 A268039 * A268041 A268042 A268043

Keyword

nonn,tabl,look

Author

Peter Kagey, Jan 24 2016

Status

approved