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A166067 Fibonacci sequence beginning 1, 69. 1

%I #19 Jun 30 2023 14:27:48

%S 1,69,70,139,209,348,557,905,1462,2367,3829,6196,10025,16221,26246,

%T 42467,68713,111180,179893,291073,470966,762039,1233005,1995044,

%U 3228049,5223093,8451142,13674235,22125377,35799612,57924989,93724601,151649590

%N Fibonacci sequence beginning 1, 69.

%H G. C. Greubel, <a href="/A166067/b166067.txt">Table of n, a(n) for n = 0..999</a>

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

%F a(n) = a(n-1) + a(n-2).

%F G.f.: (1+68*x)/(1-x-x^2). - _Philippe Deléham_, Oct 06 2009

%F a(n) = 68*A000045(n) + A000045(n+1). - _R. J. Mathar_, Oct 08 2009

%t CoefficientList[Series[(-68x-1)/(x^2+x-1),{x,0,40}],x] (* _Harvey P. Dale_, Mar 14 2011 *)

%K nonn

%O 0,2

%A Submitted Oct 06 2009 by someone who later asked to have his name removed from the Author line

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Last modified April 25 13:02 EDT 2024. Contains 371969 sequences. (Running on oeis4.)