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”).

A260529
Concatenate the positions of digits 9, 8,..., 0 in the decimal representation of n, using 1 for the rightmost digit etc., skip it if a digit does not occur.
4
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 21, 12, 12, 12, 12, 12, 12, 12, 12, 12, 21, 21, 12, 12, 12, 12, 12, 12, 12, 12, 21, 21, 21, 12, 12, 12, 12, 12, 12, 12, 21, 21, 21, 21, 12, 12, 12, 12, 12, 12, 21, 21, 21, 21, 21, 12, 12, 12, 12, 12, 21, 21, 21, 21, 21, 21, 12
OFFSET
0,11
COMMENTS
Sequence A260275 lists fixed points of this function.
EXAMPLE
Consider n=1103, digits 4-9 do not occur, the digit '3' is at the 1st position (looking from the right), digit '2' does not occur, digit '1' is in 3rd and 4th place, digit '0' at 2nd position. Thus a(1103) = 1342.
PROG
(PARI) a(n)={my(p=vector(10)); for(i=1, #n=if(n, Vecrev(digits(n)), [0]), p[n[i]+1]=if(p[n[i]+1], concat(p[n[i]+1], i), i)); if(1<#p=concat(Vecrev(select(t->#t, p))), p[1]=Str(p[1]); eval(concat(p)), p)}
CROSSREFS
Cf. A260526 - A260528 and A260519 - A260522 for variants; A045918 for the classical "look and say" sequence.
Sequence in context: A301497 A258083 A260527 * A166033 A228092 A071262
KEYWORD
nonn,base
AUTHOR
M. F. Hasler, Jul 28 2015
STATUS
approved