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.

A083234 a(n) = (3*10^n + 2^n)/4.

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%I A083234 #17 Sep 08 2022 08:45:10
%S A083234 1,8,76,752,7504,75008,750016,7500032,75000064,750000128,7500000256,
%T A083234 75000000512,750000001024,7500000002048,75000000004096,
%U A083234 750000000008192,7500000000016384,75000000000032768,750000000000065536
%N A083234 a(n) = (3*10^n + 2^n)/4.
%C A083234 Binomial transform of A066443.
%H A083234 Vincenzo Librandi, <a href="/A083234/b083234.txt">Table of n, a(n) for n = 0..300</a>
%H A083234 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-20).
%F A083234 a(n) = (3*10^n + 2^n)/4.
%F A083234 G.f.: (1-4*x)/((1-10*x)*(1-2*x)).
%F A083234 E.g.f.: (3*exp(10*x) + exp(2*x))/4.
%F A083234 a(n) = 12*a(n-1)-20*a(n-2). - _Wesley Ivan Hurt_, Apr 24 2021
%t A083234 Table[(3*10^n + 2^n)/4, {n, 0, 20}] (* _Wesley Ivan Hurt_, Apr 24 2021 *)
%o A083234 (Magma)[(3*10^n+2^n)/4: n in [0..25]]; // _Vincenzo Librandi_, Jun 29 2011
%o A083234 (PARI) a(n)=(3*10^n+2^n)/4 \\ _Charles R Greathouse IV_, Jun 29 2011
%Y A083234 Cf. A066443, A082724.
%K A083234 easy,nonn
%O A083234 0,2
%A A083234 _Paul Barry_, Apr 23 2003