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A324486 G.f. = (1-3*x+x^2)^3*(1+3*x+x^2)^3*(1-x^2)^10/((1-4*x-x^2)*(1-x-x^2)^6*(1+x-x^2)^9). 2

%I #9 Mar 13 2019 23:44:16

%S 1,1,1,22,53,319,1222,5357,22814,95711,409402,1723313,7327733,

%T 30977386,131351989,556154467,2356344131,9980896486,42280500142,

%U 179102657228,758687704322,3213865245350,13614106736560,57670398570710,244295410576130

%N G.f. = (1-3*x+x^2)^3*(1+3*x+x^2)^3*(1-x^2)^10/((1-4*x-x^2)*(1-x-x^2)^6*(1+x-x^2)^9).

%H Colin Barker, <a href="/A324486/b324486.txt">Table of n, a(n) for n = 0..1000</a>

%H M. Baake, J. Hermisson, P. Pleasants, <a href="http://dx.doi.org/10.1088/0305-4470/30/9/016">The torus parametrization of quasiperiodic LI-classes</a>, J. Phys. A 30 (1997), no. 9, 3029-3056. See (41).

%H <a href="/index/Rec#order_32">Index entries for linear recurrences with constant coefficients</a>, signature (1, 31, -10, -395, -11, 2836, 641, -13015, -4380, 40719, 15801, -90074, -35605, 143915, 52948, -168028, -52948, 143915, 35605, -90074, -15801, 40719, 4380, -13015, -641, 2836, 11, -395, 10, 31, -1, -1).

%o (PARI) Vec((1-3*x+x^2)^3*(1+3*x+x^2)^3*(1-x^2)^10/((1-4*x-x^2)*(1-x-x^2)^6*(1+x-x^2)^9) + O(x^40)) \\ _Colin Barker_, Mar 13 2019

%K nonn,easy

%O 0,4

%A _N. J. A. Sloane_, Mar 12 2019

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Last modified April 25 08:20 EDT 2024. Contains 371964 sequences. (Running on oeis4.)