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

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 200, 301, 402, 503, 604, 705, 806, 907, 1008, 1109

Offset

1,2

Comments

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 + 1 = 69.

Links

Table of n, a(n) for n=1..60.

Example

Sum of pairs of digits of 12345 = 45 + 23 + 1 = 69.
The terms of this sequence can be found with a sieve:
n = 1 to 99 --> doubling --> 2, 4, 6, 8, 10, ..., 196, 198
n = 100 to 199 --> 101, 103, 105, ... , 199, 201, ... , 297, 299
n = 200 to 299 --> 202, 204, 206, 208, ... , 398, 400
n = 300 to 303 --> 303, 305, 307, 309
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
The numbers < 304 that are missing are the terms of this sequence:  1, 3, 5, 7, ..., 97, 99, 200, 301

Crossrefs

This is a base-100 analog of A003052.

Sequence in context: A060747 A089684 A374137 * A105356 A326835 A294748

Adjacent sequences: A282999 A283000 A283001 * A283003 A283004 A283005

Keyword

nonn,base

Author

Peter Weiss, Feb 26 2017

Status

approved