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A099026 Array x AND NOT y, read by antidiagonals. 2
0, 1, 0, 2, 0, 0, 3, 2, 1, 0, 4, 2, 0, 0, 0, 5, 4, 1, 0, 1, 0, 6, 4, 4, 0, 2, 0, 0, 7, 6, 5, 4, 3, 2, 1, 0, 8, 6, 4, 4, 0, 2, 0, 0, 0, 9, 8, 5, 4, 1, 0, 1, 0, 1, 0, 10, 8, 8, 4, 2, 0, 0, 0, 2, 0, 0, 11, 10, 9, 8, 3, 2, 1, 0, 3, 2, 1, 0, 12, 10, 8, 8, 8, 2, 0, 0, 4, 2, 0, 0, 0, 13, 12, 9, 8, 9, 8, 1 (list; table; graph; refs; listen; history; internal format)
OFFSET

0,4

COMMENTS

For n>0, the n-th row and the differences of the n-th column have period 2^[log2(n)+1].

FORMULA

T(x, y) = x AND NOT y. The AND NOT operation satisfies the bitwise truth table: (0, 0) = 0, (0, 1) = 0, (1, 0) = 1, (1, 1) = 0. $e A099026 0, 0, 0, 0, 0, 0

EXAMPLE

1,0,1,0,1,0,

2,2,0,0,2,2,

3,2,1,0,3,2,

4,4,4,4,0,0,

5,4,5,4,1,0,

PROG

(PARI) T(x, y)=bitnegimply(x, y)

CROSSREFS

Rows include A000004, A059841. Columns include A001477, A052928. Antidiagonal sums are in A099027.

Cf. A003985 (AND), A003986 (OR), A003987 (XOR).

Sequence in context: A125095 A143161 A142886 * A205341 A195664 A053202

Adjacent sequences:  A099023 A099024 A099025 * A099027 A099028 A099029

KEYWORD

nonn,tabl

AUTHOR

Ralf Stephan, Sep 26 2004

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Last modified February 17 12:23 EST 2012. Contains 206011 sequences.