A078245 Smallest multiple of n using only digits 0 and 6.

6, 6, 6, 60, 60, 6, 6006, 600, 666, 60, 66, 60, 6006, 6006, 60, 6000, 66606, 666, 66006, 60, 6006, 66, 660606, 600, 600, 6006, 666666666, 60060, 6606606, 60, 666066, 60000, 66, 66606, 60060, 6660, 666, 66006, 6006, 600, 66666, 6006, 6606606, 660, 6660, 660606

Offset

1,1

Comments

a(n) = min{A204093(k): k > 0 and A204093(k) mod n = 0}. [Reinhard Zumkeller, Jan 10 2012]

Links

Michael S. Branicky, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Reinhard Zumkeller)

Mathematica

With[{c=Rest[FromDigits/@Tuples[{0, 6}, 10]]}, Table[SelectFirst[c, Divisible[ #, n]&], {n, 50}]] (* The program uses the SelectFirst function from Mathematica version 10 *) (* Harvey P. Dale, Apr 15 2015 *)

Prog

(Haskell)
a078245 n = head [x | x <- tail a204093_list, mod x n == 0]
-- Reinhard Zumkeller, Jan 10 2012
(Python)
def A204093(n): return int(bin(n)[2:].replace('1', '6'))
def a(n):
    k = 1
    while A204093(k)%n: k += 1
    return A204093(k)
print([a(n) for n in range(1, 47)]) # Michael S. Branicky, Jun 06 2021

Crossrefs

Cf. A004290, A078241-A078248, A079339, A096681-A096688.

Sequence in context: A024953 A092281 A082796 * A241057 A375657 A375640

Adjacent sequences: A078242 A078243 A078244 * A078246 A078247 A078248

Keyword

base,nonn

Author

Amarnath Murthy, Nov 23 2002

Extensions

More terms from Ray Chandler, Jul 12 2004

Status

approved