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Numbers > 9 with all digits the same.
8

%I #17 Oct 01 2024 15:36:04

%S 11,22,33,44,55,66,77,88,99,111,222,333,444,555,666,777,888,999,1111,

%T 2222,3333,4444,5555,6666,7777,8888,9999,11111,22222,33333,44444,

%U 55555,66666,77777,88888,99999,111111,222222,333333,444444,555555,666666,777777,888888

%N Numbers > 9 with all digits the same.

%C Original definition: Numbers in which all digits are repeated. (This would also include all terms of A033023 (e.g., 1100, 1122, ...) and maybe also 1010, 1212, etc.) - _M. F. Hasler_, Jun 24 2016

%H <a href="/index/Rec#order_18">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, -10).

%t Table[Map[FromDigits@ Table[#, k] &, Range@ 9], {k, 2, 6}] // Flatten (* _Michael De Vlieger_, Jun 24 2016 *)

%o (PARI) A014181(n)=10^((n+17)\9)\9*((n-1)%9+1) \\ See A010785 for a nxt() function. - _M. F. Hasler_, Jun 24 2016

%Y Same as A010785 except for one-digit numbers.

%K nonn,base

%O 1,1

%A _N. J. A. Sloane_.

%E Better definition and offset changed to 1 by _M. F. Hasler_, Jun 24 2016