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A156536 Period 12: repeat 7,5,-1,1,-5,-7,-7,-5,1,-1,5,7. 0

%I #17 Nov 20 2023 00:05:22

%S 7,5,-1,1,-5,-7,-7,-5,1,-1,5,7,7,5,-1,1,-5,-7,-7,-5,1,-1,5,7,7,5,-1,1,

%T -5,-7,-7,-5,1,-1,5,7,7,5,-1,1,-5,-7,-7,-5,1,-1,5,7,7,5,-1,1,-5,-7,-7,

%U -5,1,-1,5,7,7,5,-1,1,-5,-7,-7,-5,1,-1,5,7,7,5,-1,1,-5,-7,-7,-5,1,-1,5,7,7,5

%N Period 12: repeat 7,5,-1,1,-5,-7,-7,-5,1,-1,5,7.

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,-1).

%F a(n) = A154811(n+6) - A154811(n).

%F From _R. J. Mathar_, Apr 10 2009: (Start)

%F a(n) = -a(n-6).

%F G.f.: -(x-1)*(7*x^4 + 12*x^3 + 11*x^2 + 12*x + 7)/((1+x^2)*(x^4 - x^2 + 1)). (End)

%F G.f.: (-7*x^5 - 5*x^4 + x^3 - x^2 + 5*x + 7)/(x^6 + 1). - _Chai Wah Wu_, Feb 16 2021

%t PadRight[{},120,{7,5,-1,1,-5,-7,-7,-5,1,-1,5,7}] (* or *) LinearRecurrence[{0,0,0,0,0,-1},{7,5,-1,1,-5,-7},120] (* _Harvey P. Dale_, Oct 15 2023 *)

%Y Cf. A154870.

%K sign,easy

%O 0,1

%A _Paul Curtz_, Feb 09 2009

%E Edited by _R. J. Mathar_, Apr 10 2009

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)