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Column 0 of triangle A118438.
2

%I #11 Oct 18 2024 08:29:26

%S 1,-1,5,11,-23,-41,45,-29,337,1199,-3115,-6469,10297,8839,16125,

%T 108691,-354143,-873121,1721765,2521451,-1476983,6699319,-34182195,

%U -103232189,242017777,451910159,-597551755,-130656229,-2465133863,-10513816601,29729597085,66349305331,-116749235903

%N Column 0 of triangle A118438.

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0, -5, 0, -19, 0, 25).

%F G.f.: (1-x+10*x^2+6*x^3+21*x^4-5*x^5)/(1-x^2)/(1+6*x^2+25*x^4).

%t LinearRecurrence[{0, -5, 0, -19, 0, 25}, {1, -1, 5, 11, -23, -41}, 33] (* _Jean-François Alcover_, Apr 08 2024 *)

%o (PARI) {a(n)=polcoeff((1-x+10*x^2+6*x^3+21*x^4-5*x^5)/(1-x^2)/(1+6*x^2+25*x^4+x*O(x^n)),n)}

%Y Cf. A118438 (triangle), A118440 (row sums); A118436 (column 0 of inverse).

%K sign

%O 0,3

%A _Paul D. Hanna_, Apr 28 2006