A331533 Irregular table read by rows; for n >= 0, the n-th row corresponds to the nonnegative integers k such that (n^2) AND (k^2) = k^2, in ascending order (where AND denotes the bitwise AND operator).

0, 0, 1, 0, 2, 0, 1, 3, 0, 4, 0, 1, 3, 4, 5, 0, 2, 6, 0, 1, 4, 7, 0, 8, 0, 1, 4, 8, 9, 0, 2, 6, 8, 10, 0, 1, 3, 4, 5, 7, 8, 9, 11, 0, 4, 12, 0, 1, 3, 13, 0, 2, 8, 14, 0, 1, 8, 15, 0, 16, 0, 1, 16, 17, 0, 2, 8, 16, 18, 0, 1, 3, 8, 16, 17, 19, 0, 4, 12, 16, 20

Offset

0,5

Comments

The n-th row has A331532(n) terms, leading term 0 and last term n.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..7118 (rows for n = 0..512)

Example

Table begins:
    0;
    0, 1;
    0, 2;
    0, 1, 3;
    0, 4;
    0, 1, 3, 4, 5;
    0, 2, 6;
    0, 1, 4, 7;
    0, 8;
    ...

Prog

(PARI) row(n) = select(k -> bitand(n^2, k^2)==k^2, [0..n])

Crossrefs

Cf. A295989, A331532 (row lengths).

Sequence in context: A060318 A246061 A263730 * A089994 A178107 A272472

Adjacent sequences: A331530 A331531 A331532 * A331534 A331535 A331536

Keyword

nonn,tabf,base

Author

Rémy Sigrist, Jan 19 2020

Status

approved