A038528 -id:A038528 - cp's OEIS frontend

A038527 Same as A038528, except you may rearrange the digits before applying f; sequence gives n such that f(f(f(...(n)))) = 0 or empty.

1, 10, 12, 20, 21, 22, 100, 102, 103, 120, 123, 130, 132, 133, 200, 201, 202, 203, 210, 213, 220, 223, 230, 231, 232, 300, 301, 302, 303, 310, 312, 313, 320, 321, 322, 330, 331, 333, 1000, 1002, 1003, 1004, 1020, 1023, 1024, 1030, 1032, 1033, 1034

Offset: 1

Naohiro Nomoto

			10->1,0->01->1(1 digit)->empty;
200->2,0,0->020->20(2 digits)->0;
302->3,0,2(3 digits)->0,2->20(2 digits)->0;
517852555170->5,1,7,8,5,"2",5,5,5,"1",7,0(k=12)->(5,1,7,8,5,5,5,5,7,0),"12" ->5,"1",7,8,5,5,5,5,7,"0"(k=10)->(5,7,8,5,5,5,5,7),"10" ->5,7,"8",5,5,5,5,7(k=8)->(5,7,5,5,5,5,7),"8" ->5,"7",5,5,5,5,"7"(k=7)->(5,5,5,5,5),"7,7" ->"5,5,5,5,5"(k=5)->empty.

Sean A. Irvine, Java program (github)

Cf. A038528.

Offset corrected and missing a(23)=230 inserted by Sean A. Irvine, Jan 16 2021

A138166 Numbers containing their length in their decimal representation.

Original entry on oeis.org

1, 12, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 32, 42, 52, 62, 72, 82, 92, 103, 113, 123, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 143, 153, 163, 173, 183, 193, 203, 213, 223, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 243, 253, 263, 273, 283

Offset: 1

Reinhard Zumkeller, Mar 03 2008

R. Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A055642, A138167, A138168.
Cf. A038528 (subsequence).
Cf. A052018, A119246.

import Data.List (isInfixOf)
a138166 n = a138166_list !! (n-1)
a138166_list = filter (\x -> show (a055642 x) `isInfixOf` show x) [0..]
-- Reinhard Zumkeller, Jul 04 2012

cp's OEIS Frontend

A038527 Same as A038528, except you may rearrange the digits before applying f; sequence gives n such that f(f(f(...(n)))) = 0 or empty.

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