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Revision History for A226447

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A226447

Expansion of (1-x+x^3)/(1-x^2+2*x^3-x^4).
(history; published version)

#68 by Charles R Greathouse IV at Thu Sep 08 08:46:05 EDT 2022

PROG

(MAGMAMagma) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!((1-x+x^3)/(1-x^2+2*x^3-x^4))); // Bruno Berselli, Jul 04 2013

Discussion

Thu Sep 08

08:46

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

#67 by Charles R Greathouse IV at Sat Jun 13 00:54:41 EDT 2015

LINKS

<a href="/index/Rec#order_04">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (0,1,-2,1).

Discussion

Sat Jun 13

00:54

OEIS Server: https://oeis.org/edit/global/2439

#66 by Ralf Stephan at Sat Jul 06 05:55:40 EDT 2013

STATUS

reviewed

approved

#65 by Bruno Berselli at Fri Jul 05 05:16:13 EDT 2013

STATUS

proposed

reviewed

#64 by Paul Curtz at Thu Jul 04 17:08:11 EDT 2013

STATUS

editing

proposed

Discussion

Fri Jul 05

02:50

Bruno Berselli: Yes, ok.

#63 by Paul Curtz at Thu Jul 04 17:08:03 EDT 2013

COMMENTS

. 1, -1, 1, -2, 4, -5, 9, -15, 23, -38, ...

STATUS

proposed

editing

#62 by Paul Curtz at Thu Jul 04 12:42:48 EDT 2013

STATUS

editing

proposed

Discussion

Thu Jul 04

16:09

Paul Curtz: First numbers row in the comment:
1, -1, 1,          -2.

#61 by Bruno Berselli at Thu Jul 04 11:38:16 EDT 2013

COMMENTS

. 1, -1, 1, 2, 4, -5, 9, -15, 23, -38, ...

. -2, 2, -3, 6, -9, 14, -24, 38, -61, 100, ...

. 4, -5, 9, -15, 23, -38, 62, -99, 161, -261, ...

. -9, 14, -24, 38, -61, 100, -161, 260, -422, 682, ...

. 23, -38, 62, -99, 161, -261, 421, -682, 1104, -1785, ...

. -61, 100, -161, 260, -422, 682, -1103, 1786, -2889, 4674, ...

. 161, -261, 421, -682, 1104, -1785, 2889, -4675, 7563, -12238, ...

Discussion

Thu Jul 04

12:34

Paul Curtz: Yes,Bruno.Thank you

#60 by Bruno Berselli at Thu Jul 04 11:37:24 EDT 2013

FORMULA

G.f. ( -1+x-x^3 ) / ( (x^2-x-1)*(1-x+x^2) ). - R. J. Mathar, Jun 29 2013

2*a(n) = A010892(n+2)+A061084(n+1). - R. J. Mathar, Jun 29 2013

G.f. ( -1+x-x^3 ) / ( (x^2-x-1)*(1-x+x^2) ). - R. J. Mathar, Jun 29 2013

2*a(n) = A010892(n+2)+A061084(n+1). - R. J. Mathar, Jun 29 2013

#59 by Bruno Berselli at Thu Jul 04 09:30:44 EDT 2013

PROG

(MAGMA) m:=50; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!((1-x+x^3)/(1-x^2+2*x^3-x^4))); // Bruno Berselli, Jul 04 2013

Discussion

Thu Jul 04

11:34

Bruno Berselli: Is it ok, Paul?