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%I #11 Feb 25 2017 04:52:54
%S 1,3,16,227,9550,1260827,540904333,773494457017,3760730590920987,
%T 63165231778603354669,3713231319097707398492821,
%U 772396673211317543153892036521,573813488532401034128124101329943721,1534629746271367018386831539104008577227761
%N CONTINUANT transform of Catalan numbers 1, 2, 5, 14, 42, ...
%H Alois P. Heinz, <a href="/A071897/b071897.txt">Table of n, a(n) for n = 1..50</a>
%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%p a:= proc(n) option remember; `if`(n<0, 0,
%p `if`(n=0, 1, binomial(2*n, n)/(n+1) *a(n-1) +a(n-2)))
%p end:
%p seq(a(n), n=1..20); # _Alois P. Heinz_, Aug 06 2013
%t a[n_] := a[n] = If[n<0, 0, If[n==0, 1, CatalanNumber[n]*a[n-1] + a[n-2]]]; Table[a[n], {n, 1, 20}] (* _Jean-François Alcover_, Feb 25 2017, translated from Maple *)
%K nonn
%O 1,2
%A _N. J. A. Sloane_, Jun 10 2002
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