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#21 by Charles R Greathouse IV at Thu Sep 08 08:45:48 EDT 2022
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(MAGMAMagma) [n le 1 select n+2 else 5*n-Self(n-1)-4: n in [1..70] ]; // Vincenzo Librandi, Sep 16 2013
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Discussion
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| Thu Sep 08
| 08:45
| OEIS Server: https://oeis.org/edit/global/2944
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#20 by Peter Luschny at Mon Jul 18 07:29:28 EDT 2016
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#19 by Joerg Arndt at Mon Jul 18 07:06:49 EDT 2016
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#18 by Michel Marcus at Mon Jul 18 00:15:04 EDT 2016
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#17 by Michel Marcus at Mon Jul 18 00:14:58 EDT 2016
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a(n) = (10*n - 5*(-1)^n - 3)/4.
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<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,-1).
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| EXTENSIONS
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Previous definition replaced with the closed form. - _ by _Bruno Berselli_, Sep 17 2013
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proposed
editing
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#16 by G. C. Greubel at Sun Jul 17 20:30:45 EDT 2016
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#15 by G. C. Greubel at Sun Jul 17 20:29:46 EDT 2016
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5(10*n/2 - 5*(-1)^n/4 - 3/)/4.
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| FORMULA
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a(n) = 5*n- - a(n-1)-) - 4, with n>1, a(1)=3.
a(n) = A168209(n-1), n>1. a(n) = (5*(-1)^(n+1)-3)/4+5*n/2. G.f.: x*(3+2*x^2)/((1+x) * (x-1)^2). [R. J. Mathar, Nov 25 2009]
From R. J. Mathar, Nov 25 2009: (Start)
a(n) = A168209(n-1), n>1.
a(n) = (10*n + 5*(-1)^(n+1) - 3)/4.
G.f.: x*(3 + 2*x^2)/((1+x)*(x-1)^2). (End)
E.g.f.: (1/4)*(-5 + 8*exp(x) + (10*x - 3)*exp(2*x))*exp(-x). - G. C. Greubel, Jul 17 2016
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approved
editing
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#14 by Charles R Greathouse IV at Sat Jun 13 00:53:24 EDT 2015
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<a href="/index/Rec">Index to sequencesentries withfor linear recurrences with constant coefficients</a>, signature (1,1,-1).
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Discussion
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| Sat Jun 13
| 00:53
| OEIS Server: https://oeis.org/edit/global/2439
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#13 by Charles R Greathouse IV at Fri Jun 12 15:27:13 EDT 2015
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<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (1,1,-1).
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Discussion
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| Fri Jun 12
| 15:27
| OEIS Server: https://oeis.org/edit/global/2436
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#12 by Bruno Berselli at Tue Sep 17 04:00:43 EDT 2013
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