%I
%S 7,19,20,23,24,25,26,27,28,29,30,34,35,36,37,38,39,40,45,46,47,48,49,
%T 50,56,57,58,59,60,67,68,69,70,78,79,80,88,90,99,100,118,122,133,144,
%U 155,166,177
%N Lightest finite strictly increasing sequence of integers showing once and only once every pair of digits from [00] to [99]. The "weight" of such a sequence is the sum of all its a(n). Weight of this sequence is 2995.
%C It seems that it is only a conjecture that this sequence is really the lightest!  _N. J. A. Sloane_, Mar 15 2005
%e Sequence starts with 7 19 20 23... showing pairs [71], [19], [92], [20], [02], [23]...
%K base,easy,nonn,fini,full
%O 1,1
%A Geoff Bailey, Richard Tucker, "Alex" and _Eric Angelini_, Feb 16 2005; revised Mar 15 2005
