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Hankel transform of A014301(n+1).
1

%I #14 May 10 2024 16:52:09

%S 1,2,5,5,-2,-11,-11,2,17,17,-2,-23,-23,2,29,29,-2,-35,-35,2,41,41,-2,

%T -47,-47,2,53,53,-2,-59,-59,2,65,65,-2,-71,-71,2,77,77,-2,-83,-83,2,

%U 89,89,-2,-95,-95,2,101,101,-2,-107,-107,2,113,113,-2,-119,-119

%N Hankel transform of A014301(n+1).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (2,-3,2,-1).

%F G.f.: (1+4x^2-x^3)/((1-x+x^2))^2;

%F a(n) = (1-2n)*cos(Pi*n/3)+(2n+3)*sin(Pi*n/3)/sqrt(3).

%t LinearRecurrence[{2,-3,2,-1},{1,2,5,5},70] (* _Harvey P. Dale_, Nov 24 2017 *)

%Y Cf. A014301.

%K sign,easy

%O 0,2

%A _Paul Barry_, Mar 08 2011