A164887 a(n) = smallest number that leads to a new fixed point under the base-2 Kaprekar map of A164884.

0, 9, 17, 33, 35, 65, 67, 129, 131, 135, 257, 259, 263, 513, 515, 519, 527, 1025, 1027, 1031, 1039, 2049, 2051, 2055, 2063, 2079, 4097, 4099, 4103, 4111, 4127, 8193, 8195, 8199, 8207, 8223, 8255, 16385, 16387, 16391, 16399, 16415, 16447, 32769, 32771

Offset: 1

Author

Joseph Myers, Aug 29 2009

Keywords

• base
• nonn

Comments

Note that all base-2 cycles are fixed points.

Initial terms in base 2: 0,1001,10001,100001,100011,1000001,1000011,10000001,10000011,10000111.

The corresponding fixed points appear in ascending numerical order (i.e., A163205).

Links

• Joseph Myers, Table of n, a(n) for n=1..9802
• Index entries for the Kaprekar map

Crossrefs

Cf. A164884, A163205, A164885, A164886.

In other bases: A165009 (base 3), A165029 (base 4), A165048 (base 5), A165068 (base 6), A165087 (base 7), A165107 (base 8), A165127 (base 9), A151964 (base 10).

Extensions

Cross-references edited by Joseph Myers, Sep 04 2009