A166935 -id:A166935 - cp's OEIS frontend

A174196 Those positive integers that are both in sequence A166934 and in sequence A166935.

23, 29, 40, 58, 79, 104, 116, 121, 176, 223, 232, 242, 251, 287, 288, 303, 335, 351, 485, 489, 497, 501, 502, 672, 736, 800, 815, 831, 847, 864, 971, 979, 994, 996, 1002, 1004, 1011, 1087, 1119, 1200, 1216, 1232, 1247, 1311, 1376, 1471, 1696, 1760, 1824, 1839

Offset: 1

Ray Chandler, Mar 11 2010

Each integer in this sequence, when written in binary, contains at least two palindromic substrings that are tied for the longest such substring, one with identical digits and one with different digits.

Cf. A050430, A166934, A166935.

A166934 A positive integer n is included if the longest palindromic substring (or at least one of which that is tied for longest) in the binary representation of n consists of different valued digits (0 and 1).

Original entry on oeis.org

5, 9, 10, 11, 13, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 29, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 97

Offset: 1

Leroy Quet, Oct 24 2009

All terms of this sequence are contained in sequence A101082. (47 is the first integer that is in A101082, but is not in this sequence.)

			29 in binary is 11101. There are two substrings in this that are tied for longest palindromic substring, 111 and 101. Since 101 contains both a 0 and 1's, then 29 is in this sequence.

Cf. A050430, A166935, A174196.

Extended by Ray Chandler, Mar 11 2010

cp's OEIS Frontend

A174196 Those positive integers that are both in sequence A166934 and in sequence A166935.

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