%I #15 May 17 2024 01:44:00
%S 1,2,4,9,23,63,176,491,1362,3762,10369,28559,78653,216638,596761,
%T 1643966,4528932,12476737,34372059,94691059,260862508,718644363,
%U 1979777046,5454042866,15025219777,41392641187,114031662049,314143279634,865426307713,2384143611738,6568023995156
%N Antidiagonal sums of A369326.
%H Jean-Luc Baril, Pamela E. Harris, and José L. Ramírez, <a href="https://arxiv.org/abs/2405.05357">Flattened Catalan Words</a>, arXiv:2405.05357 [math.CO], 2024. See p. 22.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (5,-8,5).
%F G.f.: (1 - 4*x + 5*x^2 - 3*x^3)/(1 - 5*x + 8*x^2 - 5*x^3).
%F a(n) = 5*a(n-1) - 8*a(n-2) + 5*a(n-3) for n > 3.
%t LinearRecurrence[{5,-8,5},{1,1,2,4},31]
%Y Cf. A369326.
%Y First column of A372883.
%K nonn,easy
%O 0,2
%A _Stefano Spezia_, Jan 20 2024