A325745 First term of n-th difference sequence of (floor(r*k)), r = (1+sqrt(5))/2, k >= 0.

1, 1, -2, 4, -7, 10, -10, 0, 35, -125, 325, -725, 1451, -2639, 4355, -6435, 8255, -8567, 5863, -455, 910, -40105, 210418, -733447, 2085525, -5200299, 11748373, -24416951, 46909837, -82930835, 132479945, -182029055, 182029055, 1, -670853985, 2480588545

Offset

1,3

Links

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

Mathematica

Table[First[Differences[Table[Floor[GoldenRatio*n], {n, 0, 50}], n]], {n, 2, 50}]

Crossrefs

Cf. A001622, A325664. Inverse binomial transform of A000201.

Sequence in context: A067785 A059186 A034702 * A167206 A053223 A153383

Adjacent sequences: A325742 A325743 A325744 * A325746 A325747 A325748

Keyword

easy,sign

Author

Clark Kimberling, Jun 06 2019

Status

approved