[seqfan] Re: seqs whose |differences| are 1,2,3,4,...

Ron Hardin rhhardin at att.net
Mon Apr 12 01:41:44 CEST 2010


a(n)=lengths of shortest sequences covering all values in 1..n
http://www.research.att.com/~njas/sequences/A176168
with the sequences themselves in an a-file

n=1..80

 rhhardin at mindspring.com
rhhardin at att.net (either)



----- Original Message ----
> From: Ron Hardin <rhhardin at att.net>
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Sent: Tue, March 16, 2010 8:28:36 PM
> Subject: [seqfan] Re: seqs whose |differences| are 1,2,3,4,...
> 
> Shortest such seqence starting with 1 containing all the values 1..80 without 
> repeats

values 1..80 length=153 : 1 2 4 7 3 8 14 21 13 22 12 23 11 24 10 
> 25 9 26 44 63 43 64 42 65 41 66 40 67 39 68 38 69 37 70 36 71 35 72 34 73 33 74 
> 32 75 31 76 30 77 29 78 28 79 27 80 134 189 245 302 244 185 125 186 248 311 247 
> 182 116 49 117 48 118 47 119 46 120 45 121 198 276 197 277 358 440 357 441 356 
> 270 183 95 6 96 5 97 190 284 379 283 380 282 381 481 582 480 377 273 168 62 169 
> 61 170 60 171 59 172 58 173 57 174 56 175 55 176 54 177 53 178 52 179 51 180 50 
> 181 313 446 580 715 579 442 304 443 303 162 20 163 19 164 18 165 17 166 16 167 
> 15

It's unusually efficient, so maybe has some useful structure.







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