The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A167478

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A167478

Expansion of (1-2x+6x^2-x^3)/(1-3x+x^2)^2.
(history; published version)

#17 by Wesley Ivan Hurt at Thu Jul 28 21:43:13 EDT 2022

STATUS

editing

approved

#16 by Wesley Ivan Hurt at Thu Jul 28 21:42:47 EDT 2022

FORMULA

G.f.: (1-2*x+6*x^2-x^3)/(1-3*x+x^2)^2.

a(n) = 6*a(n-1) - 11*a(n-2) + 6*a(n-3) - a(n-4). - Wesley Ivan Hurt, Jul 28 2022

CROSSREFS

Cf. A054109.

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approved

editing

#15 by Harvey P. Dale at Sat Aug 04 11:17:03 EDT 2018

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editing

approved

#14 by Harvey P. Dale at Sat Aug 04 11:17:00 EDT 2018

MATHEMATICA

CoefficientList[Series[(1-2x+6x^2-x^3)/(1-3x+x^2)^2, {x, 0, 30}], x] (* Harvey P. Dale, Aug 04 2018 *)

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approved

editing

#13 by Michel Marcus at Tue Jun 14 11:49:26 EDT 2016

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reviewed

approved

#12 by Joerg Arndt at Tue Jun 14 11:23:40 EDT 2016

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proposed

reviewed

#11 by Michel Marcus at Mon Jun 13 23:58:15 EDT 2016

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editing

proposed

#10 by Michel Marcus at Mon Jun 13 23:58:09 EDT 2016

LINKS

<a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (6,-11,6,-1).

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proposed

editing

#9 by G. C. Greubel at Mon Jun 13 17:07:23 EDT 2016

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editing

proposed

#8 by G. C. Greubel at Mon Jun 13 17:07:19 EDT 2016

LINKS

G. C. Greubel, <a href="/A167478/b167478.txt">Table of n, a(n) for n = 0..1000</a>

MATHEMATICA

LinearRecurrence[{6, -11, 6, -1}, {1, 4, 19, 75}, 100] (* G. C. Greubel, Jun 13 2016 *)

STATUS

approved

editing