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A monotonic doubly-fractal sequence. Erase the last (rightmost) digit of every integer: what is left is the sequence itself. The erased digits, one by one, form also the sequence itself.
5

%I #6 Sep 03 2015 15:39:55

%S 1,2,3,4,5,6,7,8,9,11,21,32,41,53,62,74,81,95,113,216,322,417,534,628,

%T 741,819,955,1131,2161,3223,4172,5341,6286,7413,8192,9552,11314,21611,

%U 32237,41725,53413,62864,74136,81922,95528,113147,216114,322371,417258

%N A monotonic doubly-fractal sequence. Erase the last (rightmost) digit of every integer: what is left is the sequence itself. The erased digits, one by one, form also the sequence itself.

%H Ivan Neretin, <a href="/A127204/b127204.txt">Table of n, a(n) for n = 1..500</a>

%t a = Append[Range@9, 11]; s = {1}; Do[AppendTo[a, 10*a[[-9]] + s[[n]]]; s = Join[s, IntegerDigits[a[[-1]]]], {n, 39}]; a (* _Ivan Neretin_, Sep 03 2015 *)

%Y Cf. A127199, A127274, A127303.

%K base,nonn

%O 1,2

%A _Eric Angelini_, Mar 27 2007