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Binary string which equals n when 1's, 2's, 4's and 8's bits have weights 1, 1, 3, 5 respectively, while the other bits have their usual weights. -1 if no such string exists.
1

%I #5 Feb 03 2020 15:25:25

%S 0,1,11,100,101,1000,1001,1011,1100,1101,1111,-1,-1,-1,-1,-1,10000,

%T 10001,10011,10100,10101,11000,11001,11011,11100,11101,11111,-1,-1,-1,

%U -1,-1,100000,100001,100011,100100,100101,101000,101001,101011,101100,101101,101111,-1,-1,-1,-1,-1,110000,110001,110011

%N Binary string which equals n when 1's, 2's, 4's and 8's bits have weights 1, 1, 3, 5 respectively, while the other bits have their usual weights. -1 if no such string exists.

%D John M. Yarbrough, Digital Logic Applications and Design, West Publishing, 1997, p. 26

%Y Cf. A066335.

%Y A120631 is the decimal conversion of these binary strings.

%K easy,sign

%O 0,3

%A _George E. Antoniou_, Dec 15 2001

%E More terms from _Joshua Zucker_, Jun 21 2006