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A328568 Irregular triangle read by rows; for n >= 0, the n-th row corresponds to the elements of the set {(n-k) XOR k, k = 0..n}, in ascending order (where XOR denotes the bitwise XOR operator). 4
0, 1, 0, 2, 3, 0, 2, 4, 1, 5, 0, 4, 6, 7, 0, 4, 6, 8, 1, 5, 9, 0, 2, 4, 8, 10, 3, 11, 0, 2, 8, 10, 12, 1, 9, 13, 0, 8, 12, 14, 15, 0, 8, 12, 14, 16, 1, 9, 13, 17, 0, 2, 8, 10, 12, 16, 18, 3, 11, 19, 0, 2, 4, 8, 10, 16, 18, 20, 1, 5, 9, 17, 21, 0, 4, 6, 8, 16, 20, 22 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

For any n >= 0, the n-th row:

- has sum A328565(n),

- has apparently length A002487(n+1),

- has first element A135481(n),

- has last element n.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..9851

EXAMPLE

Table begins:

    0;

    1;

    0, 2;

    3;

    0, 2, 4;

    1, 5;

    0, 4, 6;

    7;

    0, 4, 6, 8;

    1, 5, 9;

    0, 2, 4, 8, 10;

    3, 11;

    0, 2, 8, 10, 12;

    1, 9, 13;

    0, 8, 12, 14;

    ...

MAPLE

T:= n-> sort([{seq(Bits[Xor](n-k, k), k=0..n)}[]])[]:

seq(T(n), n=0..30);  # Alois P. Heinz, Oct 20 2019

PROG

row(n) = Set(apply(k -> bitxor(n-k, k), [0..n]))

CROSSREFS

Cf. A326819 (AND variant), A326820 (OR variant).

Cf. A002487, A135481, A328565.

Sequence in context: A126045 A024307 A267852 * A219864 A257844 A194745

Adjacent sequences:  A328565 A328566 A328567 * A328569 A328570 A328571

KEYWORD

nonn,tabf,look,base

AUTHOR

Rémy Sigrist, Oct 20 2019

STATUS

approved

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Last modified April 7 15:56 EDT 2020. Contains 333306 sequences. (Running on oeis4.)