A279953 Numbers that cannot be partitioned into two or more distinct even-valued terms or distinct odd-valued terms of the sequence.

1, 2, 3, 5, 7, 14, 17, 19, 38, 50, 53, 55, 110, 122, 146, 158, 161, 163, 326, 338, 362, 374, 434, 446, 470, 485, 487, 1457, 1459, 3074, 3290, 3362, 3386, 3398, 4373, 4375, 13121, 13123, 26246, 26258, 26282, 26294, 26354, 26366, 26390, 26402, 26570, 39365

Offset

1,2

Comments

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

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

Links

Alois P. Heinz, Table of n, a(n) for n = 1..97

Example

10 is not in the list, as it is 7+3, both odd terms.
66 is not in the list, as it is 50+14+2, all even terms.
38 is in the list since it cannot be represented as the sum of all even terms or all odd terms.

Crossrefs

Sequence in context: A007311 A031345 A206702 * A260523 A114625 A046808

Adjacent sequences: A279950 A279951 A279952 * A279954 A279955 A279956

Keyword

nonn

Author

Randy L. Ekl, Dec 23 2016

Status

approved