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 A283002 Numbers that are not of the form m + (sum of base-100 digits of m). 2

%I

%S 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,

%T 49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,

%U 95,97,99,200,301,402,503,604,705,806,907,1008,1109

%N Numbers that are not of the form m + (sum of base-100 digits of m).

%C Sum of base-100 digits of m can also be described as "break the digit-string of m into pairs starting at the right, and add these 2-digit numbers". For example, 12345 -> 45+23+(0)1=69.

%e Sum of pairs of digits of 12345=45+23+(0)1=69

%e The terms of this sequence can be found with a sieve:

%e n=1 to 99 --> doubling --> 2,4,6,8,10,...,196,198

%e n=100 to 199 --> 101, 103, 105, ... , 199, 201, ... , 297, 299

%e n=200 to 299 --> 202, 204, 206, 208, ... , 398, 400

%e n=300 to 303 --> 303, 305, 307, 309

%e n=1 to 303 (sorted) --> 2, 4, 6, ..., 96, 98, 100, 101, 102, 103, ..., 197, 198, 199, 201, 202, 203, 204, 205, ...,297, 298, 299, 300, 302, 303, 304, 305, 306, 307, 308, 309, 310, 312, 314, 316, 318, 320, 322, ..., 398, 400

%e The numbers < 304 that are missing are the terms of this sequence: 1, 3, 5, 7, ..., 97, 99, 200, 301

%Y This is a base-100 analog of A003052.

%K nonn,base

%O 1,2

%A _Peter Weiss_, Feb 26 2017

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Last modified June 6 03:48 EDT 2020. Contains 334858 sequences. (Running on oeis4.)