OFFSET
0,5
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
q=Select[Range[100], SquareFreeQ];
t=Table[Sum[(-1)^(j-k)*Binomial[j, k]*q[[1+k]], {k, 0, j}], {j, 0, Length[q]/2}]
CROSSREFS
KEYWORD
sign
AUTHOR
Gus Wiseman, Oct 18 2024
STATUS
approved