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Revision History for A048655

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Showing entries 1-10 | older changes

A048655

Generalized Pellian with second term equal to 5.
(history; published version)

#55 by Jon E. Schoenfield at Mon Feb 21 01:19:38 EST 2022

STATUS

editing

approved

#54 by Jon E. Schoenfield at Mon Feb 21 01:19:36 EST 2022

PROG

(MAGMAMagma) m:=30; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!((1+3*x)/(1-2*x-x^2))); // G. C. Greubel, Jul 26 2018

STATUS

approved

editing

#53 by Jon E. Schoenfield at Thu Dec 27 00:24:38 EST 2018

STATUS

proposed

approved

#52 by Jon E. Schoenfield at Thu Dec 27 00:24:28 EST 2018

STATUS

editing

proposed

#51 by Jon E. Schoenfield at Thu Dec 27 00:23:59 EST 2018

COMMENTS

Equals binomial transform of A143095: (1, 4, 2, 8, 4, 16, 8, 32, ...). - Gary W. Adamson, Jul 23 2008

LINKS

A. F. Horadam, <a href="http://www.fq.math.ca/Scanned/9-3/horadam-a.pdf">Pell identities</a>, Fib. Quart., Vol. 9, No. 3, 1971, ppspp. 245-252.

STATUS

approved

editing

#50 by Susanna Cuyler at Fri Jul 27 00:25:07 EDT 2018

STATUS

proposed

approved

#49 by G. C. Greubel at Thu Jul 26 21:39:58 EDT 2018

STATUS

editing

proposed

#48 by G. C. Greubel at Thu Jul 26 21:39:46 EDT 2018

PROG

(MAGMA) m:=30; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!((1+3*x)/(1-2*x-x^2))); // G. C. Greubel, Jul 26 2018

STATUS

approved

editing

#47 by Charles R Greathouse IV at Thu Feb 09 03:09:27 EST 2017

STATUS

editing

approved

#46 by Charles R Greathouse IV at Thu Feb 09 03:09:24 EST 2017

PROG

(PARI) a(n)=([0, 1; 1, 2]^n*[1; 5])[1, 1] \\ Charles R Greathouse IV, Feb 09 2017