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%I #13 Jun 12 2023 17:11:12
%S 2,7,24,59,135,276,531,955,1656,2740,4401,6855,10421,15466,22536,
%T 32207,45320,62814,85916,116023,154977,204759,267964,347472,446809,
%U 569937,721743,907503,1133712,1407519,1737335
%N Conjectured number of irreducible multiple zeta values of depth 9 and weight 2n+25.
%H <a href="/index/Rec#order_29">Index entries for linear recurrences with constant coefficients</a>, signature (2, 2, -4, -4, 2, 10, -2, -11, 3, 6, 0, -7, 2, 8, -8, -2, 7, 0, -6, -3, 11, 2, -10, -2, 4, 4, -2, -2, 1).
%F G.f.: (2 + 3*x + 6*x^2 + 5*x^3 + 5*x^4 + 8*x^5 + 7*x^6 + 3*x^7 + 6*x^8 + 5*x^9 + 3*x^12 - 3*x^14 - 2*x^15 + 2*x^16 + 2*x^17 - x^18) / ((1-x)^2 * (1-x^2)^3 * (1-x^3)^2 * (1-x^6) * (1-x^9)).
%t CoefficientList[Series[(2+3x+6x^2+5x^3+5x^4+8x^5+7x^6+3x^7+6x^8+5x^9+3x^12-3x^14-2x^15+2x^16+2x^17-x^18)/((1-x)^2(1-x^2)^3(1-x^3)^2(1-x^6)(1-x^9)),{x,0,50}],x] (* or *) LinearRecurrence[{2,2,-4,-4,2,10,-2,-11,3,6,0,-7,2,8,-8,-2,7,0,-6,-3,11,2,-10,-2,4,4,-2,-2,1},{2,7,24,59,135,276,531,955,1656,2740,4401,6855,10421,15466,22536,32207,45320,62814,85916,116023,154977,204759,267964,347472,446809,569937,721743,907503,1133712},50] (* _Harvey P. Dale_, Jun 12 2023 *)
%K nonn
%O 0,1
%A _David Broadhurst_