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a(n) = (1/30)*(19*(n mod 6) + 14*((n+1) mod 6) - 11*((n+2) mod 6) - ((n+3) mod 6) + 4*((n+4) mod 6) + 29*((n+5) mod 6)) - 4*(C(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Mar 04 2010
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E.g.f.: 5*cosh(x) + 4*(sinh(x) - 1) - 2*sqrt(3)*exp(x/2)*sin(sqrt(3)*x/2) + 4*(sinh(x) - 1). (End)
From Stefano Spezia, Jun 27 2022: (Start)
O.g.f.: (1 + x^2 + 3*x^3 + 4*x^4)/((1 - x)*(1 + x)*(1 - x + x^2)).
E.g.f.: 5*cosh(x) + 4*(sinh(x) - 1) - 2*sqrt(3)*exp(x/2)*sin(sqrt(3)*x/2).(End)
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reviewed