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A253211 a(n) = 8^n + 7. 2

%I #9 Feb 25 2024 11:04:32

%S 8,15,71,519,4103,32775,262151,2097159,16777223,134217735,1073741831,

%T 8589934599,68719476743,549755813895,4398046511111,35184372088839,

%U 281474976710663,2251799813685255,18014398509481991,144115188075855879,1152921504606846983

%N a(n) = 8^n + 7.

%C Subsequence of A226825.

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (9,-8).

%F G.f.: (8 - 57*x)/((1 - x)*(1 - 8*x)).

%F a(n) = 9*a(n-1) - 8*a(n-2) for n>1.

%t Table[8^n + 7, {n, 0, 40}]

%t 8^Range[0,20]+7 (* or *) LinearRecurrence[{9,-8},{8,15},30] (* _Harvey P. Dale_, Feb 25 2024 *)

%o (Magma) [8^n+7: n in [0..30]];

%Y Cf. similar sequences listed in A253208.

%Y Cf. A164786, A226825.

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Dec 30 2014

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Last modified April 23 14:15 EDT 2024. Contains 371914 sequences. (Running on oeis4.)