A155606 - OEIS

%I #22 Jul 01 2026 17:47:21

%S 1,10,72,538,4176,33010,262872,2099338,16783776,134237410,1073800872,

%T 8590111738,68720008176,549757408210,4398051294072,35184386437738,

%U 281475019757376,2251799942825410,18014398896902472,144115189238117338,1152921508093631376,9223372047315129010

%N a(n) = 8^n + 3^n - 1.

%H Paolo Xausa, <a href="/A155606/b155606.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (12,-35,24).

%F G.f.: 1/(1-8*x) + 1/(1-3*x) - 1/(1-x).

%F E.g.f.: e^(8*x) + e^(3*x) - e^x.

%F a(n) = 11*a(n-1) - 24*a(n-2) - 14 with a(0)=1, a(1)=10. - _Vincenzo Librandi_, Jul 21 2010

%e G.f. = 1 + 10*x + 72*x^2 + 538*x^3 + 4176*x^4 + 33010*x^5 + 262872*x^6 + ...

%p A155606:=n->8^n+3^n-1: seq(A155606(n), n=0..30); # _Wesley Ivan Hurt_, Jan 24 2017

%t A155606[n_] := 8^n + 3^n - 1; Array[A155606, 25, 0] (* _Paolo Xausa_, Jul 01 2026 *)

%o (PARI) a(n)=8^n+3^n-1 \\ _Charles R Greathouse IV_, Jun 11 2015

%Y Cf. A155588, A155590, A155592, A155593, A155594, A155596, A155597, A155598, A155599, A155600, A155601, A155602, A155603, A155604, A155605.

%K nonn,easy,changed

%O 0,2

%A _Mohammad K. Azarian_, Jan 25 2009

%E More terms from _Paolo Xausa_, Jul 01 2026