[seqfan] a and 2a have (together) 10 different digits

[Eric Angelini]

Hello SeqFans,
I think the left column could provide
a finite seq to the OEIS -- what do 
you think?

13485 / 26970 = 0.5 
13548 / 27096 = 0.5 
13845 / 27690 = 0.5 
14538 / 29076 = 0.5 
14685 / 29370 = 0.5 
14835 / 29670 = 0.5 
14853 / 29706 = 0.5 
14865 / 29730 = 0.5 
15486 / 30972 = 0.5 
16485 / 32970 = 0.5 
18546 / 37092 = 0.5 
18645 / 37290 = 0.5 
20679 / 41358 = 0.5 
20769 / 41538 = 0.5 
20793 / 41586 = 0.5 
23079 / 46158 = 0.5 
26709 / 53418 = 0.5 
26907 / 53814 = 0.5 
27069 / 54138 = 0.5 
27093 / 54186 = 0.5 
27309 / 54618 = 0.5 
29067 / 58134 = 0.5 
29073 / 58146 = 0.5 
29307 / 58614 = 0.5 
30729 / 61458 = 0.5 
30792 / 61584 = 0.5 
30927 / 61854 = 0.5 
31485 / 62970 = 0.5 
32079 / 64158 = 0.5 
32709 / 65418 = 0.5 
32907 / 65814 = 0.5 
34851 / 69702 = 0.5 
35148 / 70296 = 0.5 
35481 / 70962 = 0.5 
38145 / 76290 = 0.5 
38451 / 76902 = 0.5 
45138 / 90276 = 0.5 
45186 / 90372 = 0.5 
45381 / 90762 = 0.5 
46185 / 92370 = 0.5 
46851 / 93702 = 0.5 
48135 / 96270 = 0.5 
48351 / 96702 = 0.5 
48513 / 97026 = 0.5 
48516 / 97032 = 0.5 
48531 / 97062 = 0.5 
48615 / 97230 = 0.5 
48651 / 97302 = 0.5

I've found by hand the 4th equality
than googled for the other ones,
which come from here:

http://wiki.answers.com/Q/How_do_you_use_all_10_digits_to_form_a_fraction_equivalent_to_one_half

I don't know if there are interesting
finite seq like this one with different
ratios i.e 1/3, 1/4, 1/5, etc.

Hope this is not old hat,
Best,
É.


Catapulté de mon aPhone