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A164887 a(n) = smallest number that leads to a new fixed point under the base-2 Kaprekar map of A164884 +0
13
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 (list; graph; listen)
OFFSET

1,2

COMMENT

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: A147459 A014004 A090994 this_sequence A111733 A127193 A146236

Adjacent sequences: A164884 A164885 A164886 this_sequence A164888 A164889 A164890

KEYWORD

base,nonn

AUTHOR

Joseph Myers (jsm(AT)polyomino.org.uk), Aug 29 2009

EXTENSIONS

Cross-references edited by Joseph Myers (jsm(AT)polyomino.org.uk), Sep 04 2009

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Last modified December 20 13:54 EST 2009. Contains 171081 sequences.


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