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#33 by Charles R Greathouse IV at Thu Sep 08 08:45:03 EDT 2022
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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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#32 by Joerg Arndt at Mon Sep 03 02:05:04 EDT 2018
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#31 by Michel Marcus at Mon Sep 03 01:48:06 EDT 2018
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#30 by Michel Marcus at Mon Sep 03 01:48:02 EDT 2018
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| LINKS
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<a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (10,-9).
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| STATUS
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proposed
editing
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#29 by Jon E. Schoenfield at Sun Sep 02 21:23:54 EDT 2018
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#28 by Jon E. Schoenfield at Sun Sep 02 21:23:52 EDT 2018
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a(n) = 9^n + 1.
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a(n) = 9*a(n-1)-) - 8 = A001019(n)+) + 1 = 10*a(n-1) - 9*a(n-2).
From Mohammad K. Azarian, Jan 02 2009: (Start)
G.f.: 1/(1-x)+) + 1/(1-9*x). E.g.f.: e^x+e^(9*x). - _Mohammad K. Azarian_, Jan 02 2009).
E.g.f.: e^x + e^(9*x). (End)
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(MAGMA) [9^n + 1: n in [0..35]]; // ]]; // _Vincenzo Librandi, _, Apr 30 2011
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approved
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#27 by Charles R Greathouse IV at Thu Sep 24 11:04:25 EDT 2015
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#26 by Charles R Greathouse IV at Thu Sep 24 11:04:17 EDT 2015
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G.f.: 1/(1-x)+1/(1-9*x). E.g.f.: e^x+e^(9*x). [From _). - _Mohammad K. Azarian_, Jan 02 2009]
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(PARI) a(n)=9^n+1 \\ Charles R Greathouse IV, Sep 24 2015
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Cf. A054977, A007395, A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062397, A007689, A063376, A063481, A074600 - -A074624, A034524, A178248, A228081 for numbers one more than powers.
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approved
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#25 by Charles R Greathouse IV at Fri Jun 12 15:25:02 EDT 2015
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<a href="/index/Rea#recLCCRec">Index entries for linear recurrences with constant coefficients</a>, signature (10,-9).
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Discussion
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| Fri Jun 12
| 15:25
| OEIS Server: https://oeis.org/edit/global/2436
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#24 by Bruno Berselli at Wed Sep 11 07:07:01 EDT 2013
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