A178341 - OEIS

A178341

Smallest multiple of 3 such that decimals digits 1, ..., k (k = 1, ..., 9) and 0 appear in any order.

12, 12, 123, 12234, 12345, 123456, 12234567, 12345678, 123456789, 1023456789

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

EXAMPLE

4 * 3 = 12

41 * 3 = 123

4078 * 3 = 12234

4115 * 3 = 12345

41152 * 3 = 123456

4078189 * 3 = 12234567

4115226 * 3 = 12345678

41152263 * 3 = 123456789

341152263 * 3 = 1023456789

PROG

(Python)

def a(n):

digset = "".join(str(d) for d in range(1, min(n+1, 11)))

target, lb = set(digset), int(digset) if n < 10 else 1023456789

m = lb if lb%3 == 0 else lb + 3 - lb%3

while target - set(str(m)): m += 3

return m

print([a(n) for n in range(1, 11)]) # Michael S. Branicky, Dec 12 2021

CROSSREFS

KEYWORD

base,easy,fini,full,nonn

AUTHOR

Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), May 25 2010

STATUS

approved