A130527 - OEIS

%I #2 Mar 30 2012 18:57:10

%S 0,1,2,-1,3,4,-2,5,6,7,-3,8,9,-4,10,11,12,-5,13,14,-6,15,16,-7,17,18,

%T 19,-8,20,21,-9,22,23,24,-10,25,26,-11,27,28,-12,29,30,31,-13,32,33,

%U -14,34,35,36,-15,37,38,-16,39,40,41,-17,42,43,-18,44,45,-19,46,47,48

%N A permutation of the integers induced by the Beatty sequence for sqrt(2).

%C Another permutation of the integers is -A130527.

%F a(0)=0; a(n)=k if n=L(k); a(n)=-k if n=U(k), where L(k) = A001951(k) = Floor(k*sqrt(2)), U(k) = A001952(k) = 2k+L(k).

%e 5=L(4), so a(5)=4.

%e 6=U(2), so a(6)=-2.

%Y Cf. A001951, A001952, A130526.

%K sign

%O 0,3

%A _Clark Kimberling_, Jun 02 2007