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A136598 G.f.: (2*x^3 + 5) / ( -x^5 + x^3 + 1). 1

%I

%S 5,0,0,-3,0,5,3,0,-8,-3,5,11,3,-13,-14,2,24,17,-15,-38,-15,39,55,0,

%T -77,-70,39,132,70,-116,-202,-31,248,272,-85,-450,-303,333,722,218,

%U -783,-1025,115,1505,1243,-898,-2530,-1128,2403,3773,230,-4933,-4901,2173,8706,5131,-7106,-13607

%N G.f.: (2*x^3 + 5) / ( -x^5 + x^3 + 1).

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

%F a(n) = -a(n-3) + a(n-5). a(-n) = A133394(n).

%e 5 - 3*x^3 + 5*x^5 + 3*x^6 - 8*x^8 - 3*x^9 + 5*x^10 + 11*x^11 + 3*x^12 - ...

%o (PARI) {a(n) = if( n<0, n = 1 - n; polsym(x^5 - x^3 - 1, n)[n], n++; polsym(x^5 + x^2 - 1, n)[n])}

%Y Cf. A133394.

%K sign,easy

%O 0,1

%A _Michael Somos_, Jan 11 2008

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Last modified April 16 04:49 EDT 2021. Contains 343030 sequences. (Running on oeis4.)