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%I M5005 #15 Jun 18 2022 19:14:35
%S 16,96,344,952,2241,4712,9108,16488,28314,46552,73788,113360,169507,
%T 247536,354008,496944,686052,932976,1251568,1658184,2172005,2815384,
%U 3614220,4598360,5802030,7264296,9029556,11148064,13676487,16678496
%N From generalized Catalan numbers.
%D H. M. Finucan, Some decompositions of generalized Catalan numbers, pp. 275-293 of Combinatorial Mathematics IX. Proc. Ninth Australian Conference (Brisbane, August 1981). Ed. E. J. Billington, S. Oates-Williams and A. P. Street. Lecture Notes Math., 952. Springer-Verlag, 1982.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F G.f.: (2-x)^4/(x-1)^8. - _Sean A. Irvine_, May 31 2017
%F a(n) = 8*a(n-1)-28*a(n-2)+56*a(n-3)-70*a(n-4)+56*a(n-5)-28*a(n-6)+8*a(n-7)-a(n-8). - _Wesley Ivan Hurt_, Jun 18 2022
%Y Cf. A181289.
%K nonn,easy
%O 0,1
%A _Simon Plouffe_
%E a(6) and a(8) corrected and more terms from _Sean A. Irvine_, May 31 2017