OFFSET
1,1
COMMENTS
A111456 is the subsequence of terms divisible by the considered base (which is the least b such b^b > a(n)).
Is it true that there are no terms for base b > 16 and b even?
LINKS
Hans Havermann and Giovanni Resta, Table of n, a(n) for n = 1..233 (first 163 terms from Chai Wah Wu)
Hans Havermann, base-formatted (a=10, b=11, c=12, ..) terms, A111456 highlighted
EXAMPLE
247215 = 2046513[7] (i.e., in base 7) is pandigital and 20[7] = 14 is even, 204[7] = 102 is divisible by 3, etc. up to 204651[7] = 35316 which is divisible by 6.
In contrast to A111456, the number as a whole does not need to be divisible by the considered base. - M. F. Hasler, May 27 2020
PROG
(Python)
def dgen(n, b):
if n == 1:
t = list(range(b))
for i in range(1, b):
u = list(t)
u.remove(i)
yield i, u
else:
for d, v in dgen(n-1, b):
for g in v:
k = d*b+g
if not k % n:
u = list(v)
u.remove(g)
yield k, u
A256112_list = lambda n: [a*k+b[0] for k in range(2, n) for a, b in dgen(k-1, k)]
print(A256112_list(10))
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Chai Wah Wu, Jun 07 2015
EXTENSIONS
Edited by M. F. Hasler, May 27 2020
STATUS
approved