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First term of n-th difference sequence of (floor(k/e)), k >= 0.
2

%I #4 Jun 07 2019 22:00:34

%S 0,0,1,-3,6,-9,9,0,-27,81,-161,231,-165,-363,2079,-6435,16071,-35343,

%T 70686,-130339,222717,-352715,515944,-692967,849299,-950455,996435,

%U -1042415,1042415,1,-6926071,36516481,-137549665,436362817,-1233496132,3197432557

%N First term of n-th difference sequence of (floor(k/e)), k >= 0.

%H Clark Kimberling, <a href="/A325748/b325748.txt">Table of n, a(n) for n = 1..200</a>

%t Table[First[Differences[Table[Floor[n/E], {n, 0, 50}], n]], {n, 1, 50}]

%Y Cf. A068985.

%K easy,sign

%O 1,4

%A _Clark Kimberling_, Jun 07 2019