A325734 First term of n-th difference sequence of (floor(k*e)), k >= 0.

2, 1, -1, 0, 3, -9, 19, -35, 63, -119, 238, -483, 945, -1715, 2793, -3871, 3871, 0, -14161, 52479, -143717, 345401, -767977, 1613129, -3226258, 6148961, -11119031, 18874261, -29414651, 39955041, -39955041, 0, 151615947, -575723785, 1611404739, -3936821259

Offset: 1

Author

Clark Kimberling, May 20 2019

Keywords

• easy
• sign

Links

• Clark Kimberling, Table of n, a(n) for n = 1..200

Crossrefs

Cf. A001113, A003417, A325664. Inverse binomial transform of A022843.

Programs

Mathematica

Table[First[Differences[Table[Floor[E*n], {n, 0, 50}], n]], {n, 1, 50}]