A275213 The largest coefficients of the extended q-Catalan polynomials which are defined in A274886.
1, 1, 1, 1, 1, 2, 1, 5, 2, 12, 4, 32, 9, 94, 23, 289, 62, 910, 176, 2934, 512, 9686, 1551, 32540, 4822, 110780, 15266, 381676, 49141, 1328980, 160728, 4669367, 532890, 16535154, 1785162, 58965214, 6039328, 211591218, 20617808, 763535450, 70951548, 2769176514
Offset: 0
Keywords
Links
- Vaclav Kotesovec, Table of n, a(n) for n = 0..100
- Peter Luschny, Orbitals
Programs
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Maple
# Function QExtCatalan is defined in A274886. seq(max(QExtCatalan(n,q)), n=0..20);
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Mathematica
(* Function QExtCatalan is defined in A274886. *) Table[Max[CoefficientList[QExtCatalan[n] // FunctionExpand, q]], {n,0,30}]
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Sage
# uses[q_ext_catalan_number] # Function q_ext_catalan_number is in A274886. print([max(q_ext_catalan_number(n).list()) for n in (0..41)])