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.

A082414 a(n) = (2*10^n + 4^n)/3.

This page as a plain text file.
%I A082414 #14 Sep 08 2018 21:53:04
%S A082414 1,8,72,688,6752,67008,668032,6672128,66688512,666754048,6667016192,
%T A082414 66668064768,666672259072,6666689036288,66666756145152,
%U A082414 666667024580608,6666668098322432,66666672393289728,666666689573158912,6666666758292635648
%N A082414 a(n) = (2*10^n + 4^n)/3.
%C A082414 Binomial transform of A082413.
%H A082414 Nathaniel Johnston, <a href="/A082414/b082414.txt">Table of n, a(n) for n = 0..250</a>
%H A082414 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14,-40).
%F A082414 G.f.: (1-6*x)/((1-4*x)*(1-10*x)).
%F A082414 E.g.f.: (2*exp(10*x) + exp(4*x))/3.
%F A082414 a(n) = (2*10^n + 4^n)/3.
%p A082414 seq((2*10^n+4^n)/3,n=0..19); # _Nathaniel Johnston_, Jun 26 2011
%o A082414 (PARI) a(n) = (2*10^n+4^n)/3; \\ _Altug Alkan_, Sep 08 2018
%Y A082414 Cf. A082412, A082413.
%K A082414 easy,nonn
%O A082414 0,2
%A A082414 _Paul Barry_, Apr 23 2003