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#30 by Charles R Greathouse IV at Thu Sep 08 08:44:51 EDT 2022
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| PROG
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(MAGMAMagma) [(16*(n-3)*2^n+(n+7)*(n^2+11*n+42) div 6): n in [0..30]]; // Vincenzo Librandi, Sep 20 2014
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Discussion
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| Thu Sep 08
| 08:44
| OEIS Server: https://oeis.org/edit/global/2944
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#29 by R. J. Mathar at Mon Aug 01 10:13:06 EDT 2022
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#28 by R. J. Mathar at Mon Aug 01 10:12:52 EDT 2022
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| LINKS
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<a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (8,-26,44,-41,20,-4).
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| STATUS
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approved
editing
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#27 by Joerg Arndt at Wed Sep 20 07:44:12 EDT 2017
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#26 by Michel Marcus at Wed Sep 20 07:30:04 EDT 2017
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#25 by Wesley Ivan Hurt at Wed Sep 20 07:06:30 EDT 2017
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#24 by Wesley Ivan Hurt at Tue Sep 19 16:20:51 EDT 2017
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#23 by Peter Luschny at Sun Sep 21 03:47:57 EDT 2014
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#22 by Peter Luschny at Sat Sep 20 03:47:30 EDT 2014
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#21 by Peter Luschny at Sat Sep 20 03:46:28 EDT 2014
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| FORMULA
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G.f.: 1/((1-2*x)*(1-x)^2)^2.
a(n) = (n-3)*2^(n+4)+binomial(n+3, ,3)+4*(binomial(n+1, ,2)+4*n+12)
G.f.: 1/((1-2*x)*(1-x)^2)^2.
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