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 A121957 Expansion of x^2*(43 -11*x -148*x^2 +23*x^3)/(1 -2*x -7*x^2 +7*x^3 +12*x^4 -2*x^5). 1
 0, 43, 75, 303, 853, 2786, 8608, 27261, 85646, 270137, 851245, 2684011, 8462548, 26684106, 84143305, 265331874, 836695587, 2638426981, 8320048505, 26236520890, 82734709152, 260896992401, 822717574538, 2594372978149 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS G. C. Greubel, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (2,7,-7,-12,2). FORMULA From R. J. Mathar, Apr 04 2009: (Start) a(n) = 2*a(n-1) + 7*a(n-2) - 7*a(n-3) - 12*a(n-4) + 2*a(n-5). G.f.: x^2*(43 -11*x -148*x^2 +23*x^3)/(1 -2*x -7*x^2 +7*x^3 +12*x^4 -2*x^5). (End) MATHEMATICA M = {{0, 1, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 0}}; v[1]= Table[Fibonacci[n], {n, 0, 9}]; v[n_]:= v[n]= M.v[n-1]; Table[Floor[v[n][[1]]], {n, 1, 50}] PROG (MAGMA) R:=PowerSeriesRing(Integers(), 50); [0] cat Coefficients(R!( x^2*(43 -11*x -148*x^2 +23*x^3)/(1 -2*x -7*x^2 +7*x^3 +12*x^4 -2*x^5) )); // G. C. Greubel, Jul 12 2021 (Sage) def A121957_list(prec):     P. = PowerSeriesRing(ZZ, prec)     return P( x^2*(43-11*x-148*x^2+23*x^3)/(1-2*x-7*x^2+7*x^3+12*x^4 -2*x^5) ).list() a=A121957_list(50); a[1:]  # G. C. Greubel, Jul 12 2021 CROSSREFS Sequence in context: A176925 A080177 A238248 * A118075 A236839 A183074 Adjacent sequences:  A121954 A121955 A121956 * A121958 A121959 A121960 KEYWORD nonn,easy AUTHOR Roger L. Bagula, Sep 01 2006 EXTENSIONS Edited by G. C. Greubel, Jul 12 2021 STATUS approved

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Last modified January 18 07:55 EST 2022. Contains 350454 sequences. (Running on oeis4.)