The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A325733 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A325733

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

#16 by Sean A. Irvine at Sat Jul 20 22:20:25 EDT 2019

STATUS

proposed

approved

#15 by Jon E. Schoenfield at Sat Jul 20 19:44:39 EDT 2019

STATUS

editing

proposed

#14 by Jon E. Schoenfield at Sat Jul 20 19:44:35 EDT 2019

CROSSREFS

Cf. A325664. Inverse binom. Trans. binomial transform of A137803.

STATUS

approved

editing

#13 by OEIS Server at Thu May 23 05:25:34 EDT 2019

LINKS

Clark Kimberling, <a href="/A325733/b325733_1.txt">Table of n, a(n) for n = 1..200</a>

#12 by R. J. Mathar at Thu May 23 05:25:34 EDT 2019

STATUS

editing

approved

Discussion

Thu May 23

05:25

OEIS Server: Installed new b-file as b325733.txt.  Old b-file is now b325733_1.txt.

#11 by R. J. Mathar at Wed May 22 11:25:16 EDT 2019

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

CROSSREFS

Cf. A325664. Inverse binom. Trans. of A137803.

#10 by Clark Kimberling at Wed May 22 09:46:15 EDT 2019

MATHEMATICA

Table[First[Differences[Table[Floor[(1/2+Sqrt[2])*n], {n, 0, 3050}], n]], {n, 0, 1, 50}]

#9 by Clark Kimberling at Wed May 22 09:24:51 EDT 2019

DATA

1, 1, -2, 4, 1, 1, -1, 1, -8, 15, 1, 1, -25, 35, 1, 1, -35, 1, 0, 126, -462, 1253, 11, -2989, 6615, 77, 363, -13867, 27734, 1364, 4367, -52921, 95863, 12375, 31823, -163115, 255493, 75581, 167959, -352716, 379050, 352715, 705431, -134596, 1352078, 2496167, -828875, 3407821, 4457699, 7728759, -9217717, 20837509, 13055444, 21572459, -41675018, 74480265, 35072309, 56663099, -116145145, 143502875, 92561039, 157073279, -78990635, 286097759, 572195518, -286097760, 14531791251251677664

OFFSET

1,313

LINKS

Clark Kimberling, <a href="/A325733/b325733_1.txt">Table of n, a(n) for n = 1..200</a>

MATHEMATICA

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

STATUS

proposed

editing

#8 by Jon E. Schoenfield at Wed May 22 03:26:47 EDT 2019

STATUS

editing

proposed

Discussion

Wed May 22

03:53

R. J. Mathar: DATA comment and Mma likely to be replaced by C Kimberling...

#7 by Jon E. Schoenfield at Wed May 22 03:26:44 EDT 2019

COMMENTS

STATUS

proposed

editing