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A022390 Fibonacci sequence beginning 8, 17. 3

%I #25 Sep 08 2022 08:44:46

%S 8,17,25,42,67,109,176,285,461,746,1207,1953,3160,5113,8273,13386,

%T 21659,35045,56704,91749,148453,240202,388655,628857,1017512,1646369,

%U 2663881,4310250,6974131,11284381,18258512,29542893,47801405,77344298,125145703,202490001,327635704,530125705,857761409,1387887114,2245648523,3633535637,5879184160

%N Fibonacci sequence beginning 8, 17.

%H G. C. Greubel, <a href="/A022390/b022390.txt">Table of n, a(n) for n = 0..1000</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1, 1).

%F G.f.: (8+9*x)/(1-x-x^2). - _Philippe Deléham_, Nov 20 2008

%F a(n) = 8*Fibonacci(n+2) + Fibonacci(n). - _Michel Marcus_, Mar 03 2018

%p with(combinat,fibonacci): seq(8*fibonacci(n+2)+fibonacci(n),n=0..35); # _Muniru A Asiru_, Mar 03 2018

%t Table[8*Fibonacci[n + 2] + Fibonacci[n], {n, 0, 50}] (* or *) LinearRecurrence[{1,1}, {8,17}, 50] (* _G. C. Greubel_, Mar 02 2018 *)

%o (PARI) for(n=0, 50, print1(8*fibonacci(n+2) + fibonacci(n), ", ")) \\ _G. C. Greubel_, Mar 02 2018

%o (Magma) [8*Fibonacci(n+2) + Fibonacci(n): n in [0..50]]; // _G. C. Greubel_, Mar 02 2018

%o (GAP) List([0..35],n->8*Fibonacci(n+2)+Fibonacci(n)); # _Muniru A Asiru_, Mar 03 2018

%Y Cf. A000032.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

%E Terms a(36) onward added by _G. C. Greubel_, Mar 02 2018

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Last modified April 19 12:06 EDT 2024. Contains 371792 sequences. (Running on oeis4.)