A330418 - OEIS

A330418

Numbers whose k digits can be permuted into a new k-digit number according to rules explained in the Comments section.

0, 112, 1120, 3122, 11114, 11200, 13004, 13202, 30014, 30212, 31220, 33024, 33222, 111140, 112000, 112112, 113142, 130040, 132020, 300140, 302120, 312114, 312200, 313144, 330240, 332220, 500142, 502122, 511144, 512004, 512202, 530044, 530242, 532024, 532222

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Each digit d of the k-digit word is placed in a new k-digit word at a position which is d steps to the right of its original position when d is odd, or to the left when d is even. Digits may not be placed outside the k-digit word or replace an already placed digit.

Concatenation of any two terms is also a term, except for 0 which can only be concatenated to the right.

LINKS

Lars Blomberg, Table of n, a(n) for n = 1..10000

EXAMPLE

Original 13202 -3202 --202 ---02 ----2 -----

Permuted ----- -1--- -1--3 21--3 21-03 21203

Placing digit 5 outside is not allowed.

Original 15202 -5202 --202

Permuted ----- -1--- -1--3-5

Collision, the 1 cannot replace the 3.

Original 13212 -3212 --212 ---12

Permuted ----- -1--- -1--3 21--3