login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A069746
Four-digit numbers that do not resolve to 6174 under the Kaprekar map (see A151949).
8
1000, 1011, 1101, 1110, 1111, 1112, 1121, 1211, 1222, 2111, 2122, 2212, 2221, 2222, 2223, 2232, 2322, 2333, 3222, 3233, 3323, 3332, 3333, 3334, 3343, 3433, 3444, 4333, 4344, 4434, 4443, 4444, 4445, 4454, 4544, 4555, 5444, 5455, 5545, 5554, 5555, 5556
OFFSET
1,1
COMMENTS
Dinesh Thakur (email, Mar 01 2015) points out that Kaprekar himself would pad numbers with fewer than four digits by adding initial zeros, so that for him the only four-digit exceptions are those with all four digits equal. - N. J. A. Sloane, Mar 01 2015
CROSSREFS
Cf. A151949.
Sequence in context: A169734 A213317 A281150 * A291346 A191753 A033830
KEYWORD
fini,full,nonn,base
AUTHOR
Harvey P. Dale, Apr 22 2002
EXTENSIONS
There are precisely 77 such numbers.
STATUS
approved