[seqfan] Re: Definition of A0033053

[Neil Sloane]

Robert, Yes, it looks like you are right. Good catch!
Can you correct the entry?
Thanks
Neil


On Sun, Mar 30, 2014 at 6:42 PM, <israel at math.ubc.ca> wrote:

> A0033053 is titled "Numbers n such that base 2 representation
> Sum{d(i)*2^i: i=0,1,...,m} has odd d(i) for all odd i." However, it seems
> to me that the listed entries 1, 3, 6, 7, 13, 15, 26, 27, 30, 31, 53, 55,
> 61, 63, 106, 107, 110, 111, 122, 123, 126, 127, 213, 215, 221, 223, 245,
> 247, 253, 255, 426, 427, 430, 431, 442, 443, 446, 447, 490, 491, 494, 495,
> 506, 507, 510, 511, 853, 855, 861, 863 are those for which d(i) = 1 when
> i+m is odd, not when i is odd. For example,
>   26 = 11010_2 (m=4, d(i) = 1 for i=1 and 3)
> but
>   53 = 110101_2 (m=5, d(i) = 1 for i=0,2 and 4)
>
> Robert Israel
> University of British Columbia and D-Wave Systems
>
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>



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