A257899 Pandigital numbers reordered so that the numbers A050278(n)/3^k, where 3^k||A050278(n), are in nondecreasing order.

7246198035, 3410256897, 5361708249, 5902183746, 6820513794, 8145396207, 8269753401, 9145036728, 9537240186, 1257389406, 1359426078, 4379605281, 1742063598, 6185973240, 2081654397, 2095471863, 6472951380, 2170936485, 2304859617, 2415930786, 2419650873

Offset: 1

Author

Vladimir Shevelev and Peter J. C. Moses, May 12 2015

Keywords

• nonn
• base
• fini

Comments

If two such numbers A050278(n_1)/3^k_1 and A050278(n_2)/3^k_2 are equal, then A050278(n_1) appears earlier than A050278(n_2) iff A050278(n_1)<A050278(n_2).

There are 5985 such pairs.

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A050278, A257893.

Programs

Python

from itertools import permutations
l = []
for d in permutations('0123456789', 10):
    if d[0] != '0':
        d2 = int(''.join(d))
        d = d2
        r = d2 % 3
        while not r:
            d2, r = divmod(d2, 3)
        l.append((d2,d))
l.sort()
A257899_list = [b for a,b in l] # Chai Wah Wu, May 24 2015

Formula

min(A050278(n)/3^k) = 7246198035/3^15 = 505