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 A083295 a(n) = (4*2^n + (-8)^n)/5. 3

%I #11 Jun 29 2023 18:18:55

%S 1,0,16,-96,832,-6528,52480,-419328,3355648,-26843136,214749184,

%T -1717985280,13743898624,-109951156224,879609315328,-7036874391552,

%U 56294995394560,-450359962632192,3602879702106112,-28823037614751744,230584300922208256

%N a(n) = (4*2^n + (-8)^n)/5.

%C Binomial transform of A083294.

%H Vincenzo Librandi, <a href="/A083295/b083295.txt">Table of n, a(n) for n = 0..300</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (-6, 16).

%F a(n) = (4*2^n + (-8)^n)/5.

%F G.f.: (1+6*x)/((1-2*x)*(1+8*x)).

%F E.g.f.: (4*exp(2*x) + exp(-8*x))/5.

%o (Magma) [(4*2^n+(-8)^n)/5: n in [0..30]]; // _Vincenzo Librandi_, Jun 08 2011

%Y Cf. A083296.

%K easy,sign

%O 0,3

%A _Paul Barry_, Apr 24 2003

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Last modified May 21 11:30 EDT 2024. Contains 372736 sequences. (Running on oeis4.)