cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A178676 a(n) = 5^n + 5.

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%I A178676 #33 Dec 06 2023 13:54:10
%S A178676 6,10,30,130,630,3130,15630,78130,390630,1953130,9765630,48828130,
%T A178676 244140630,1220703130,6103515630,30517578130,152587890630,
%U A178676 762939453130,3814697265630,19073486328130,95367431640630,476837158203130,2384185791015630,11920928955078130
%N A178676 a(n) = 5^n + 5.
%H A178676 Vincenzo Librandi, <a href="/A178676/b178676.txt">Table of n, a(n) for n = 0..1000</a>
%H A178676 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (6,-5).
%F A178676 a(n) = 5*(a(n-1) - 4) with a(0) = 6.
%F A178676 G.f.: (6-26*x)/((1-5*x)*(1-x)). - _R. J. Mathar_, Jan 05 2011
%F A178676 a(n) = 6*a(n-1) - 5*a(n-2) for n > 1. - _Vincenzo Librandi_, Sep 30 2013
%F A178676 E.g.f.: exp(5*x) + 5*exp(x). - _G. C. Greubel_, Jan 27 2019
%F A178676 a(n) = A000351(n)+5 = A034474(n)+4 = A242328(n)+3 = A242329(n)+1. - _Elmo R. Oliveira_, Dec 06 2023
%e A178676 G.f. = 6 + 10*x + 30*x^2 + 130*x^3 + 630*x^4 + 3130*x^5 + 15630*x^6 + ... - _Michael Somos_, Jan 28 2019
%t A178676 Table[5^n + 5, {n, 0, 40}] (* _Vincenzo Librandi_, Sep 30 2013 *)
%o A178676 (Magma) [5^n+5: n in [0..35]];
%o A178676 (PARI) a(n)=5^n+5 \\ _Charles R Greathouse IV_, Oct 07 2015
%o A178676 (Sage) [5^n+5 for n in range(40)] # _G. C. Greubel_, Jan 27 2019
%o A178676 (GAP) List([0..30], n -> 5^n +5); # _G. C. Greubel_, Jan 27 2019
%Y A178676 Cf. A000351, A034474, A178671, A242328, A242329.
%K A178676 nonn,easy
%O A178676 0,1
%A A178676 _Vincenzo Librandi_, Dec 25 2010