A325732 First term of n-th difference sequence of (floor(k*r)), r = sqrt(3/4), k >= 0.

0, 1, -1, 1, -1, 1, -1, 0, 7, -35, 119, -329, 791, -1715, 3430, -6419, 11319, -18767, 28763, -38759, 38759, 1, -149228, 572057, -1615429, 3979001, -9014851, 19251001, -39309301, 77558760, -149239771, 282712561, -532577025, 1008032953, -1934671809, 3787949521

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. A325664. Inverse binomial Transform of A171970 and A172475.

Cf. A010527 (sqrt(3/4)).

Programs

Mathematica

Table[First[Differences[Table[Floor[Sqrt[3/4]*n], {n, 0, 50}], n]], {n, 1, 50}]