OFFSET

1,2

COMMENTS

a(n) is also the number of k such that k and n*k, taken together, are zeroless pandigital. - Nathaniel Johnston, Jun 25-26 2011

There are 179540 nonzero terms in the sequence. The largest n for which a(n) > 0 is 98765432 representing the pandigital fraction 1/98765432. The largest a(n) is a(8) = 46. - Chai Wah Wu, May 23 2015

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Pandigital Fraction.

EXAMPLE

a(3)=2 since there are 2 such pandigital fractions for 1/3: 5823/17469 and 5832/17496.

PROG

(Python)

from itertools import permutations

l = {}

for d in permutations('123456789', 9):

....for i in range(8):

........s1, s2 = int(''.join(d[:i+1])), int(''.join(d[i+1:]))

........q, r = divmod(s1, s2)

........if not r:

............if q in l:

................l[q] += 1

............else:

................l[q] = 1

A054383_list = [0]*max(l)

for d in l:

....A054383_list[d-1] = l[d] # Chai Wah Wu, May 23 2015

CROSSREFS

KEYWORD

nonn,base

AUTHOR

EXTENSIONS

More terms from Vit Planocka (planocka(AT)mistral.cz), Sep 21 2003

STATUS

approved