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A193772 Nonnegative integers whose digital difference is 0. 1

%I #31 Apr 25 2020 03:18:13

%S 0,11,22,33,44,55,66,77,88,99,101,110,202,211,220,303,312,321,330,404,

%T 413,422,431,440,505,514,523,532,541,550,606,615,624,633,642,651,660,

%U 707,716,725,734,743,752,761,770,808,817,826,835,844,853,862,871,880

%N Nonnegative integers whose digital difference is 0.

%C The subsequence of multiples of 11 begins: 0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 220, 330, 440...

%C The subsequence of primes begins: 11, 101, 211, 431, 523, 541, 743, 761, 853, ... (see A156307).

%F If decimal expansion of n is x1 x2 ... xk then x1 - x2 - ... - xk = 0.

%t fQ[n_] := Module[{d = IntegerDigits[n]}, d[[1]] == Total[Rest[d]]]; Select[Range[0, 1000], fQ] (* _T. D. Noe_, Jan 02 2013 *)

%Y Cf. A040997, A007953, A156307.

%K nonn,base

%O 1,2

%A _Dario Piazzalunga_, Jan 02 2013

%E Definition edited by _Michel Marcus_, Oct 26 2014

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Last modified April 23 15:20 EDT 2024. Contains 371916 sequences. (Running on oeis4.)