[math-fun] 100 digrams

Hello math-fun and seqfan; I'm trying to find a finite sequence like this one : 1 8 9 10 11 20 21 30 31 40 41 50 51 60 61 70 71 90 92 93 94 95 96 97 98 223 242 526 533 543 627 634 644 728 737 745 755 800 838 848 5667 8681 ... where one can read once and only once all the "di- grams" formed by the digits 0 to 9 [thus the digrams 00, 01, 02, 03, 04, ... 09 10, 11, 12, 13, 14, ... 19 ... 90, 91, 92, 93, 94, ... 99]. The "best" sequence would be the "lightest" one -- the "weight" of a finite sequence being the sum of all it's terms (the example here has a "weight" of 25111). The above sequence shows almost all the digrams -- only [99] is missing... Best, Éric Angelini -- Brussels, Belgium.