The On-Line Encyclopedia of Integer Sequences (OEIS)

A227359 revision #19

A227359

Natural numbers n, which are not of the form (k +- sum of binary digits of k) for any k.

6, 13, 21, 30, 37, 48, 51, 80, 83, 111, 121, 133, 144, 147, 175, 185, 192, 207, 217, 226, 233, 242, 245, 248, 250, 272, 275, 303, 313, 320, 335, 345, 354, 361, 370, 373, 376, 378, 387, 399, 409, 418, 425, 434, 437, 440, 442, 457, 466, 469, 472, 474, 481, 488, 490, 497, 505, 507, 528, 531, 559, 569, 576, 591, 601, 610, 617

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OFFSET

1,1

COMMENTS

This sequence is the intersection of sets A010061 and A055938, where: set A010061 is NONE of ( k + count of set binary bits(k) ), and set A055938 is NONE of ( k - count of set binary bits(k) ), for any k.

LINKS

Andres M. Torres, Table of n, a(n) for n = 1..1000

Andres M. Torres, Zip file containing Blitz3D code

EXAMPLE

Find the list of values not defined by:

V = i +- count of set binary bits(i), for any integer i.

Assume that setbits(n) returns the count of set binary digits of n.

A227359 sample: 6,13,21,30,37,48,51,80,83,111, ...

0 +- setbits(0) = 0 therefore 0 does not make the list

1 +- setbits(1) = 0,2 therefore 0 and 2 do not make the list

2 +- setbits(2) = 1,3 therefore 1 and 3 do not make the list

3 +- setbits(3) = 1,5 therefore 1 and 5 do not make the list