A325674 First term of n-th difference sequence of (floor(k*r)), r = sqrt(8), k >= 0.

2, 1, -1, 1, -1, 0, 5, -20, 55, -125, 251, -462, 803, -1364, 2365, -4367, 8735, -18564, 40409, -87380, 184603, -379049, 758099, -1486674, 2884775, -5592404, 10919089, -21572459, 43144919, -87087000, 176565485, -357913940, 723002335, -1453179125, 2906358250

Offset: 1

Author

Clark Kimberling, May 15 2019

Keywords

• easy
• sign

Links

• Clark Kimberling, Table of n, a(n) for n = 1..199

Crossrefs

Cf. A022842, A325664, A325675.

Programs

Mathematica

Table[First[Differences[Table[Floor[Sqrt[8]*n], {n, 0, 30}], n]], {n, 0, 50}]