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

1,2

Links

Table of n, a(n) for n=1..49.

Sean A. Irvine, Java program (github)

Example

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.

Crossrefs

Cf. A038528.

Sequence in context: A255845 A330971 A135988 * A270263 A048378 A338640

Adjacent sequences: A038524 A038525 A038526 * A038528 A038529 A038530

Keyword

easy,nonn,base,nice

Author

Naohiro Nomoto

Extensions

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

Status

approved