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Fibonacci sequence beginning 1, 24.
1

%I #30 Feb 18 2024 02:01:36

%S 1,24,25,49,74,123,197,320,517,837,1354,2191,3545,5736,9281,15017,

%T 24298,39315,63613,102928,166541,269469,436010,705479,1141489,1846968,

%U 2988457,4835425,7823882,12659307,20483189,33142496,53625685,86768181,140393866,227162047,367555913,594717960

%N Fibonacci sequence beginning 1, 24.

%H G. C. Greubel, <a href="/A022394/b022394.txt">Table of n, a(n) for n = 0..1000</a>

%H Jia Huang, <a href="https://arxiv.org/abs/1902.11139">Hecke algebras of simply-laced type with independent parameters</a>, arXiv:1902.11139 [math.RT], 2019.

%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.: (1+23*x)/(1-x-x^2). - _Philippe Deléham_, Nov 20 2008

%t Table[Fibonacci[n + 2] + 22*Fibonacci[n], {n, 0, 50}] (* _G. C. Greubel_, Mar 01 2018 *)

%o (PARI) for(n=0, 40, print1(fibonacci(n+2) + 22*fibonacci(n), ", ")) \\ _G. C. Greubel_, Mar 01 2018

%o (Magma) [Fibonacci(n+2) + 22*Fibonacci(n): n in [0..40]]; // _G. C. Greubel_, Mar 01 2018

%K nonn

%O 0,2

%A _N. J. A. Sloane_

%E Terms a(30) onward added by _G. C. Greubel_, Mar 01 2018