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

%I

%S 1,8,72,688,6752,67008,668032,6672128,66688512,666754048,6667016192,

%T 66668064768,666672259072,6666689036288,66666756145152,

%U 666667024580608,6666668098322432,66666672393289728,666666689573158912,6666666758292635648

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

%C Binomial transform of A082413.

%H Nathaniel Johnston, <a href="/A082414/b082414.txt">Table of n, a(n) for n = 0..250</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14,-40).

%F G.f.: (1-6*x)/((1-4*x)*(1-10*x)).

%F E.g.f.: (2*exp(10*x) + exp(4*x))/3.

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

%p seq((2*10^n+4^n)/3,n=0..19); # _Nathaniel Johnston_, Jun 26 2011

%o (PARI) a(n) = (2*10^n+4^n)/3; \\ _Altug Alkan_, Sep 08 2018

%Y Cf. A082412, A082413.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Apr 23 2003

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Last modified September 17 19:16 EDT 2019. Contains 327137 sequences. (Running on oeis4.)