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#27 by Ray Chandler at Tue Feb 20 16:48:56 EST 2024
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#26 by Ray Chandler at Tue Feb 20 16:47:18 EST 2024
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<a href="/index/Rec#order_0806">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,, 1,0,, 2, 1,, 0,1,-, -1).
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| FORMULA
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a(n) = a(n-1)+a(n-3)+a(n-5)+a(n-7)-a(n-8) for n>8. - Vincenzo Librandi, Dec 30 2015
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| PROG
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(Magma) I:=[1, 3, 6, 11, 18, 29, 46, 73, 116]; [n le 9 select I[n] else Self(n-1)+Self(n-3)+Self(n-5) + Self(n-7)-Self(n-8): n in [1..50]]; // Vincenzo Librandi, Dec 30 2015
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| STATUS
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approved
editing
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Discussion
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| Tue Feb 20
| 16:48
| Ray Chandler: Correct LR link from VL, remove incorrect formula and Magma program from VL, Mma program ok based on g.f.
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#25 by Charles R Greathouse IV at Thu Sep 08 08:46:14 EDT 2022
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(MAGMAMagma) I:=[1, 3, 6, 11, 18, 29, 46, 73, 116]; [n le 9 select I[n] else Self(n-1)+Self(n-3)+Self(n-5) + Self(n-7)-Self(n-8): n in [1..50]]; // Vincenzo Librandi, Dec 30 2015
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Discussion
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| Thu Sep 08
| 08:46
| OEIS Server: https://oeis.org/edit/global/2944
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#24 by Bruno Berselli at Sat May 23 12:05:44 EDT 2020
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#23 by Andrey Zabolotskiy at Sat May 23 11:51:10 EDT 2020
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#22 by Andrey Zabolotskiy at Sat May 23 11:51:02 EDT 2020
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M. O'Keeffe, <a href="https://doi.org/10.1524/zkri.1998.213.3.135">Coordination sequences for hyperbolic tilings</a>, Zeitschrift für Kristallographie, 213 (1998), 135-140 (see last table, row 6.8.8H).
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approved
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#21 by Joerg Arndt at Mon Aug 07 12:03:54 EDT 2017
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#20 by Michel Marcus at Mon Aug 07 11:59:57 EDT 2017
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#19 by G. C. Greubel at Mon Aug 07 11:58:24 EDT 2017
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#18 by G. C. Greubel at Mon Aug 07 11:58:08 EDT 2017
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G. C. Greubel, <a href="/A265075/b265075.txt">Table of n, a(n) for n = 0..1000</a>
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(PARI) x='x+O('x^50); Vec((x^3+x^2+x+1)*(x^2+x+1)*(x+1)/(x^6-x^4-2*x^3-x^2+1)) \\ G. C. Greubel, Aug 07 2017
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approved
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