The On-Line Encyclopedia of Integer Sequences (OEIS)

A325733 revision #8

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

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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

proposed