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

1,2

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).

Sequence in context: A188559 A014004 A090994 * A328016 A335796 A260477

Adjacent sequences: A164884 A164885 A164886 * A164888 A164889 A164890

Keyword

base,nonn

Author

Joseph Myers, Aug 29 2009

Extensions

Cross-references edited by Joseph Myers, Sep 04 2009

Status

approved