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A275213
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The largest coefficients of the extended q-Catalan polynomials which are defined in A274886.
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2
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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
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OFFSET
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0,6
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LINKS
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Vaclav Kotesovec, Table of n, a(n) for n = 0..100
Peter Luschny, Orbitals
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MAPLE
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# Function QExtCatalan is defined in A274886.
seq(max(QExtCatalan(n, q)), n=0..20);
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MATHEMATICA
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(* Function QExtCatalan is defined in A274886. *)
Table[Max[CoefficientList[QExtCatalan[n] // FunctionExpand, q]], {n, 0, 30}]
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PROG
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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)])
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CROSSREFS
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Cf. A274882, A274886.
Sequence in context: A318972 A341495 A337943 * A113176 A113175 A109191
Adjacent sequences: A275210 A275211 A275212 * A275214 A275215 A275216
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KEYWORD
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nonn
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AUTHOR
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Peter Luschny, Jul 20 2016
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STATUS
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approved
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