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%I #16 Jan 06 2023 10:53:22
%S 1,1,1,1,1,2,1,5,2,12,4,32,9,94,23,289,62,910,176,2934,512,9686,1551,
%T 32540,4822,110780,15266,381676,49141,1328980,160728,4669367,532890,
%U 16535154,1785162,58965214,6039328,211591218,20617808,763535450,70951548,2769176514
%N The largest coefficients of the extended q-Catalan polynomials which are defined in A274886.
%H Vaclav Kotesovec, <a href="/A275213/b275213.txt">Table of n, a(n) for n = 0..100</a>
%H Peter Luschny, <a href="https://oeis.org/wiki/User:Peter_Luschny/Orbitals">Orbitals</a>
%p # Function QExtCatalan is defined in A274886.
%p seq(max(QExtCatalan(n,q)), n=0..20);
%t (* Function QExtCatalan is defined in A274886. *)
%t Table[Max[CoefficientList[QExtCatalan[n] // FunctionExpand, q]], {n,0,30}]
%o (Sage) # uses[q_ext_catalan_number]
%o # Function q_ext_catalan_number is in A274886.
%o print([max(q_ext_catalan_number(n).list()) for n in (0..41)])
%Y Cf. A274882, A274886.
%K nonn
%O 0,6
%A _Peter Luschny_, Jul 20 2016
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