OFFSET
0,32
COMMENTS
Are there any terms > 1?
The k-th composition in standard order (graded reverse-lexicographic, A066099) is obtained by taking the set of positions of 1's in the reversed binary expansion of k, prepending 0, taking first differences, and reversing again. This gives a bijective correspondence between nonnegative integers and integer compositions.
LINKS
MATHEMATICA
stc[n_]:=Differences[Prepend[Join @@ Position[Reverse[IntegerDigits[n, 2]], 1], 0]]//Reverse;
Differences[Table[stc/@stc[n]/.List->Plus, {n, 0, 100}]]
CROSSREFS
See link for sequences related to standard compositions.
Positions of first appearances appear to all belong to A052955.
KEYWORD
sign
AUTHOR
Gus Wiseman, Sep 28 2022
STATUS
approved