A342582 a(n) is the least multiple of n that is a "binary antipalindrome" (i.e., an element of A035928).

2, 2, 12, 12, 10, 12, 42, 56, 558, 10, 682, 12, 52, 42, 150, 240, 170, 558, 38, 240, 42, 682, 598, 240, 150, 52, 3132, 56, 232, 150, 558, 992, 8382, 170, 2730, 936, 666, 38, 936, 240, 738, 42, 3010, 3784, 535230, 598, 11938, 240, 2254, 150, 204, 52, 212, 3132

Offset

1,1

Comments

This sequence has similarities with A141709.

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A342582

Formula

a(n) = n * A318569(n).

Example

For n = 42:
- 42 is a binary antipalindrome,
- so a(42) = 42.

Prog

(PARI) See Links section.
(Python)
def comp(s): z, o = ord('0'), ord('1'); return s.translate({z:o, o:z})
def BCR(n): return int(comp(bin(n)[2:])[::-1], 2)
def bin_anti_pal(n): return BCR(n) == n
def a(n):
    kn = n
    while not bin_anti_pal(kn): kn += n
    return kn
print([a(n) for n in range(1, 55)]) # Michael S. Branicky, Mar 15 2021

Crossrefs

Cf. A035928, A141709, A318569.

Sequence in context: A109767 A339297 A196061 * A131121 A232853 A328520

Adjacent sequences: A342579 A342580 A342581 * A342583 A342584 A342585

Keyword

nonn,base

Author

Rémy Sigrist, Mar 15 2021

Status

approved