OFFSET
0,1
FORMULA
The inverse zero-based binomial transform of a sequence (q(0), q(1), q(2), ...) is the sequence p given by:
p(j) = sum_{k=0..j} (-1)^(j-k) binomial(j,k) q(k)
MATHEMATICA
nn=20;
Table[First[Differences[NestList[NestWhile[#+1&, #+1, SquareFreeQ[#]&]&, 4, 2*nn], k]], {k, 0, nn}]
CROSSREFS
KEYWORD
sign
AUTHOR
Gus Wiseman, Oct 19 2024
STATUS
approved