The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A164031 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A164031

a(n) = ((2+3*sqrt(2))*(5+sqrt(2))^n+(2-3*sqrt(2))*(5-sqrt(2))^n)/4.
(history; published version)

#14 by Charles R Greathouse IV at Thu Sep 08 08:45:47 EDT 2022

PROG

(MAGMAMagma) Z<x>:= PolynomialRing(Integers()); N<r>:=NumberField(x^2-2); S:=[ ((2+3*r)*(5+r)^n+(2-3*r)*(5-r)^n)/4: n in [0..19] ]; [ Integers()!S[j]: j in [1..#S] ]; // Klaus Brockhaus, Aug 09 2009

Discussion

Thu Sep 08

08:45

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

#13 by Bruno Berselli at Thu Apr 05 05:51:48 EDT 2018

STATUS

reviewed

approved

#12 by Michel Marcus at Wed Apr 04 03:11:45 EDT 2018

STATUS

proposed

reviewed

#11 by Muniru A Asiru at Wed Apr 04 02:22:45 EDT 2018

STATUS

editing

proposed

#10 by Muniru A Asiru at Wed Apr 04 02:21:18 EDT 2018

PROG

(GAP) a:=[1, 8];; for n in [3..25] do a[n]:=10*a[n-1]-23*a[n-2]; od; a; # Muniru A Asiru, Apr 04 2018

STATUS

reviewed

editing

#9 by Michel Marcus at Wed Apr 04 00:33:44 EDT 2018

STATUS

proposed

reviewed

#8 by G. C. Greubel at Tue Apr 03 22:51:34 EDT 2018

STATUS

editing

proposed

#7 by G. C. Greubel at Tue Apr 03 22:51:26 EDT 2018

FORMULA

E.g.f.: exp(5*x)*(2*cosh(sqrt(2)*x) + 3*sqrt(2)*sinh(sqrt(2)*x))/2. - G. C. Greubel, Apr 03 2018

STATUS

approved

editing

#6 by Joerg Arndt at Fri Sep 08 03:06:52 EDT 2017

STATUS

reviewed

approved

#5 by Michel Marcus at Fri Sep 08 01:03:58 EDT 2017

STATUS

proposed

reviewed