The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A053111

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A053111

Expansion of (-1 + 1/(1-8*x)^8)/(64*x); related to A053107.
(history; published version)

#18 by Charles R Greathouse IV at Thu Sep 08 08:45:00 EDT 2022

PROG

(MAGMAMagma) [8^(n-1)*Binomial(n+8, 7): n in [0..30]]; // G. C. Greubel, Aug 16 2018

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#17 by Alois P. Heinz at Tue Jun 22 15:53:52 EDT 2021

STATUS

reviewed

approved

#16 by Hugo Pfoertner at Tue Jun 22 13:13:38 EDT 2021

STATUS

proposed

reviewed

#15 by Alois P. Heinz at Tue Jun 22 13:08:48 EDT 2021

STATUS

editing

proposed

#14 by Alois P. Heinz at Tue Jun 22 13:08:11 EDT 2021

DATA

1, 36, 960, 21120, 405504, 7028736, 112459776, 1686896640, 23991418880, 326283296768, 4271344975872, 54103703027712, 665891729571840, 7990700754862080, 93757555523715072, 1078211888522723328, 12177451917433110528, 135305021304812339200, 1481233917442156134400

Discussion

Tue Jun 22

13:08

Alois P. Heinz: g.f. is given, so no need for a "conjecture" ...

#13 by Alois P. Heinz at Tue Jun 22 13:07:10 EDT 2021

COMMENTS

Conjecture: satisfies a linear recurrence having signature (64, -1792, 28672, -286720, 1835008, -7340032, 16777216, -16777216). - Harvey P. Dale, Jun 20 2021

LINKS

<a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (64,-1792,28672,-286720,1835008,-7340032,16777216,-16777216).

STATUS

approved

editing

#12 by Harvey P. Dale at Sun Jun 20 16:40:43 EDT 2021

STATUS

editing

approved

#11 by Harvey P. Dale at Sun Jun 20 16:40:38 EDT 2021

COMMENTS

Conjecture: satisfies a linear recurrence having signature (64, -1792, 28672, -286720, 1835008, -7340032, 16777216, -16777216). - Harvey P. Dale, Jun 20 2021

MATHEMATICA

CoefficientList[Series[(-1+1/(1-8x)^8)/(64x), {x, 0, 20}], x] (* Harvey P. Dale, Jun 20 2021 *)

STATUS

approved

editing

#10 by Susanna Cuyler at Thu Aug 16 08:56:22 EDT 2018

STATUS

proposed

approved

#9 by Michel Marcus at Thu Aug 16 02:55:08 EDT 2018

STATUS

editing

proposed