A325668 First term of n-th difference sequence of (floor(k*r)), r = sqrt(5), k >= 0.

2, 0, 0, 0, 1, -5, 15, -35, 71, -135, 255, -495, 991, -2015, 4095, -8255, 16511, -32895, 65535, -130815, 261630, -523753, 1048322, -2096151, 4183700, -8324849, 16480854, -32363019, 62784774, -119759849, 223346544, -404491999, 705032194, -1166803109

Offset: 1

Author

Clark Kimberling, May 13 2019

Keywords

• easy
• sign

Links

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

Crossrefs

Cf. A325664, A325669.

Inverse binomial transform of A022839.

Programs

Mathematica

Table[First[Differences[Table[Floor[Sqrt[5]*n], {n, 0, 50}], n]], {n, 1, 50}]