Number of nonnegative sequences of integers S with the properties that (1) sum(S) + length(S) = n and (2) there exists a nonnegative sequence whose Euler transform begins with S starting at index 1.

A367205

Number of nonnegative sequences of integers S with the properties that (1) sum(S) + length(S) = n and (2) there exists a nonnegative sequence whose Euler transform begins with S starting at index 1.