New sequence

[Tautócrona]

Hi:

I just sended the following sequence to the OEIS. Any comments would be appreciated:

Subject: NEW SEQUENCE FROM Jose Brox


%I A000001
%S A000001 
1,3,7,11,15,23,31,39,47,55,63,79,95,111,127,143,159,175,191,207,223,239,255,287,319,351,383,415,447,479,511,543,575,607,639,671,703,735,767,799,831,863,895,927,959,991,1023,1087,1151,1215,1279,1343,1407,1471,1535,1599,1663,1727,1791,1855,1919,1983,2047
%N A000001 k*2^n-1 with k<2^n
%C A000001 These numbers are analogous to proth numbers (k*2^n+1, k<2^n) but with a minus 
sign. As far as I know, they are not defined in the literature. I suggest we call them 
"Proth+" numbers, and consequently call "Proth-" to the usual Proth numbers.
%H A000001 <a href="http://mathworld.wolfram.com/ProthNumber.html"></a>
%e A000001 a(4)=7 because 7=1*2^3-1, with 1<2^3, and it's the fourth number being of this 
form.
%o A000001 (PARI) for(n=2,8,for(k=2^(n-2)+1,2^n,print1(k*2^n-1",")))

Note that the first two terms ( 1,3 ) are not computed
%Y A000001 A080075
%O A000001 (1,1)
%K A000001 ,easy,nonn,
%A A000001 Jose Brox (tautocrona at terra.es), Dec 31 2005


Jose