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Special connected numbers: minimal and maximal connected numbers (cf. A029827) of a given binary order, i.e., between two consecutive powers of 2.
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%I #10 Apr 23 2017 01:13:07

%S 15,15,45,63,85,123,153,255,323,511,603,1023,1139,2047,2227,4095,4369,

%T 8189,8777,16383,17219,32767,33667,65535,67591,131069,133897,262143,

%U 264967,524285,527621,1048575,1053443

%N Special connected numbers: minimal and maximal connected numbers (cf. A029827) of a given binary order, i.e., between two consecutive powers of 2.

%C Observe in the sequence that although the values of 2^g-1 are often maximal marginal connected numbers, this is not an absolute rule.

%e Between 1024 and 2048 (i.e., in the range with binary order 11) 1139 and 2047 are the smallest and largest composite connected numbers.

%Y Cf. A029827.

%K nonn

%O 1,1

%A _Labos Elemer_