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 A192773 Coefficient of x in the reduction of the n-th Fibonacci polynomial by x^3->x^2+2x+1. 3
 0, 1, 0, 4, 3, 18, 30, 98, 219, 596, 1464, 3783, 9540, 24328, 61740, 156985, 398904, 1013772, 2576475, 6547574, 16640382, 42288806, 107473443, 273129468, 694130016, 1764047839, 4483130424, 11393354512, 28954911624, 73585574049 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS For discussions of polynomial reduction, see A192232 and A192744. LINKS Index entries for linear recurrences with constant coefficients, signature (1,5,-1,-5,1,1). FORMULA a(n)=a(n-1)+5*a(n-2)-a(n-3)-5*a(n-4)+a(n-5)+a(n-6). G.f.: x^2*(x^2+x-1)/(x^6+x^5-5*x^4-x^3+5*x^2+x-1). [Colin Barker, Nov 23 2012] EXAMPLE The first five polynomials p(n,x) and their reductions are as follows: F1(x)=1 -> 1 F2(x)=x -> x F3(x)=x^2+1 -> x^2+1 F4(x)=x^3+2x -> x^2+4x+1 F5(x)=x^4+3x^2+1 -> 6x^2+3x+2, so that A192772=(1,0,1,1,2,...), A192773=(0,1,0,4,3,...), A192774=(0,0,1,1,6,...) MATHEMATICA (See A192772.) CROSSREFS Cf. A192232, A192744, A192772. Sequence in context: A302851 A276083 A161893 * A183231 A241358 A178417 Adjacent sequences:  A192770 A192771 A192772 * A192774 A192775 A192776 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jul 09 2011 STATUS approved

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Last modified October 26 17:15 EDT 2020. Contains 338027 sequences. (Running on oeis4.)