The On-Line Encyclopedia of Integer Sequences (OEIS)

A325733 revision #7

A325733

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

1, 1, -2, 4, -8, 15, -25, 35, -35, 0, 126, -462, 1253, -2989, 6615, -13867, 27734, -52921, 95863, -163115, 255493, -352716, 379050, -134596, -828875, 3407821, -9217717, 20837509, -41675018, 74480265, -116145145, 143502875, -78990635, -286097760, 1453179125

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

COMMENTS

Note that the Mathematica implementation and the data do not match the NAME (due to different settings of the parentheses). According to the NAME, this would be a inverse binomial transformation of A137803. - R. J. Mathar, May 22 2019

LINKS

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

MATHEMATICA

Table[First[Differences[Table[Floor[1/2+Sqrt[2]*n], {n, 0, 30}], n]], {n, 0, 50}]

CROSSREFS

Cf. A325664.

Sequence in context: A082562 A159243 A325840 * A347764 A324740 A262146

Adjacent sequences: A325730 A325731 A325732 * A325734 A325735 A325736

KEYWORD

easy,sign

AUTHOR

Clark Kimberling, May 20 2019

STATUS

editing