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Numbers that cannot be partitioned into two or more distinct even-valued terms or distinct odd-valued terms of the sequence.
1

%I #14 Dec 29 2016 16:38:07

%S 1,2,3,5,7,14,17,19,38,50,53,55,110,122,146,158,161,163,326,338,362,

%T 374,434,446,470,485,487,1457,1459,3074,3290,3362,3386,3398,4373,4375,

%U 13121,13123,26246,26258,26282,26294,26354,26366,26390,26402,26570,39365

%N Numbers that cannot be partitioned into two or more distinct even-valued terms or distinct odd-valued terms of the sequence.

%C There are interesting large jumps within the sequence (e.g., more than doubling from 487 to 1457).

%C There appears to be the same number of even terms aa odd terms in the sequence.

%H Alois P. Heinz, <a href="/A279953/b279953.txt">Table of n, a(n) for n = 1..97</a>

%e 10 is not in the list, as it is 7+3, both odd terms.

%e 66 is not in the list, as it is 50+14+2, all even terms.

%e 38 is in the list since it cannot be represented as the sum of all even terms or all odd terms.

%K nonn

%O 1,2

%A _Randy L. Ekl_, Dec 23 2016