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A015598 a(n) = 11*a(n-1) + 6*a(n-2). 1

%I #30 Dec 23 2023 14:28:29

%S 0,1,11,127,1463,16855,194183,2237143,25773671,296933239,3420907655,

%T 39411583639,454052865959,5231051027383,60265878496967,

%U 694310969630935,7999015936922087,92155041123928567,1061699547984746759,12231625274575785751

%N a(n) = 11*a(n-1) + 6*a(n-2).

%H Vincenzo Librandi, <a href="/A015598/b015598.txt">Table of n, a(n) for n = 0..900</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11,6).

%F G.f.: x/(1-11*x-6*x^2). [_Zerinvary Lajos_, Apr 27 2009]

%t Join[{a=0,b=1},Table[c=11*b+6*a;a=b;b=c,{n,60}]] (* _Vladimir Joseph Stephan Orlovsky_, Jan 31 2011 *)

%t LinearRecurrence[{11,6},{0,1},30] (* _Harvey P. Dale_, Oct 05 2012 *)

%o (Sage) [lucas_number1(n,11,-6) for n in range(0, 18)]# [_Zerinvary Lajos_, Apr 27 2009]

%o (Magma) [n le 2 select n-1 else 11*Self(n-1) + 6*Self(n-2): n in [1..30]]; // _Vincenzo Librandi_, Nov 22 2012

%K nonn,easy

%O 0,3

%A _Olivier GĂ©rard_

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Last modified April 23 11:35 EDT 2024. Contains 371912 sequences. (Running on oeis4.)