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.

A154410 a(n) = 5*(3*6^n + 2^n)/2.

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%I A154410 #21 Sep 08 2022 08:45:40
%S A154410 10,50,280,1640,9760,58400,350080,2099840,12597760,75584000,453498880,
%T A154410 2720983040,16325877760,97955225600,587731271680,3526387466240,
%U A154410 21158324469760,126949946163200,761699675668480,4570198051389440,27421188303093760
%N A154410 a(n) = 5*(3*6^n + 2^n)/2.
%H A154410 Vincenzo Librandi, <a href="/A154410/b154410.txt">Table of n, a(n) for n = 0..1000</a>
%H A154410 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (8,-12).
%F A154410 a(n) = 8*a(n-1) - 12*a(n-2).
%F A154410 a(n) = 6*a(n-1) - 10*2^(n-1).
%F A154410 a(n) = A154407(n+1) - A154407(n).
%F A154410 a(n) = 10*A090040(n).
%F A154410 G.f.: 10*(1-3*x)/((1-2*x)*(1-6*x)). - _Jaume Oliver Lafont_, Aug 30 2009
%F A154410 E.g.f.: (5/2)*( exp(2*x) + 3*exp(6*x) ). - _G. C. Greubel_, Sep 16 2016
%t A154410 LinearRecurrence[{8,-12},{10,50},30] (* _Harvey P. Dale_, Apr 27 2018 *)
%o A154410 (Magma) [5*(3*6^n+2^n)/2: n in [0..30]]; // _Vincenzo Librandi_, Aug 07 2011
%K A154410 nonn,easy
%O A154410 0,1
%A A154410 _Paul Curtz_, Jan 09 2009
%E A154410 Entries corrected and extended by _Paolo P. Lava_, Jan 20 2009
%E A154410 Comments turned into formulas by _R. J. Mathar_, Sep 07 2009