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 A083578 a(n) = (6^n + (-4)^n)/2. 1

%I #12 Mar 08 2021 12:06:41

%S 1,1,26,76,776,3376,25376,131776,872576,4907776,30757376,179301376,

%T 1096779776,6496792576,39316299776,234555621376,1412702437376,

%U 8454739787776,50814338072576,304542431051776,1828628975845376

%N a(n) = (6^n + (-4)^n)/2.

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,24).

%F a(n) = (6^n + (-4)^n)/2.

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

%F E.g.f.: (exp(6x) + exp(-4x))/2.

%t LinearRecurrence[{2,24},{1,1},30] (* _Harvey P. Dale_, Nov 29 2017 *)

%Y Cf. A083579. First differences of A051958.

%K easy,nonn

%O 0,3

%A _Paul Barry_, Apr 30 2003

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Last modified November 28 07:15 EST 2023. Contains 367394 sequences. (Running on oeis4.)