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A330272 a(n) is the least nonnegative integer k such that n OR k is a cube (where OR denotes the bitwise OR operator). 2
0, 0, 25, 24, 121, 120, 337, 336, 0, 18, 17, 16, 113, 112, 3361, 3360, 11, 10, 9, 8, 105, 104, 321, 320, 3, 2, 1, 0, 97, 96, 29761, 29760, 93, 92, 1297, 1296, 89, 88, 3337, 3336, 85, 84, 3333, 3332, 81, 80, 3329, 3328, 77, 76, 1281, 1280, 73, 72, 59265, 59264 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The sequence is well defined:

- for any k >= 0, the binary expansion of m = A000225(k)^3 has k trailing 1's,

- hence for any n < 2^k, n OR m = m, which is a cube, QED.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..8192

Rémy Sigrist, PARI program for A330272

Rémy Sigrist, Scatterplot of (x, y) such that x OR y is a cube, 0 <= x, y <= 1023

FORMULA

a(n) = 0 iff n is a cube.

a(n) AND n = 0 (where AND denotes the bitwise AND operator).

PROG

(PARI) See Links section.

CROSSREFS

See A330271 for the XOR variant.

Cf. A000225, A000578, A003986.

Sequence in context: A022981 A023467 A158501 * A194219 A291434 A291476

Adjacent sequences:  A330269 A330270 A330271 * A330273 A330274 A330275

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Dec 08 2019

STATUS

approved

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Last modified September 17 06:16 EDT 2021. Contains 347478 sequences. (Running on oeis4.)