Mian-Chowla sequence, A051788

[all at abouthugo.de]

For the Mian-Chowla sequence A005282 a conjectured list of differences
not covered is:
%S A080200  33 88 98 99 105 106 112 126 130 132 134 150 152 154 156 162 
163 165 170 176 184 188 198 205 214 215 216 217 220 222 228 
234 235 240 246
It was created using a little Fortran program available at:
http://www.randomwalk.de/sequences/a080200.txt
which checked the elements of A005282 up to 4*10^6.

Any ideas how to prove that differences not occurring early in the
sequences
A005282 or A051788 (which is just a variation of A005282 starting with
1,3,..
instead of 1,2,..)  will not occur further up?

"Pfoertner, Hugo" <Hugo.Pfoertner at muc.mtu.de> schrieb am 05.02.2003,
16:43:15:
> Jens, Seqfans,
> 
> based on some experimentation my guess is, that there will be indeed
> remaining gaps in the list of positive differences between the
> elements of of A051788. A051788 has
> 494 entries below 2*10^6 and the list of differences not occurring
> starts:
> 49 50 71 72 76 82 90 93 95 96 119 128 139 143 152 162 172 173

submitted as A080201

> I checked that the entries below 128 are already present if one stops
> searching
> at 2*10^5 instead of 2*10^6.
> So my guess is, that there is a new sequence: Differences not occurring
> in A051788. I didn't check the situation for A005282, but it should be
> similar,
> 
> Regards
> Hugo
> http://www.pfoertner.org/
<snip>