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A275213 The largest coefficients of the extended q-Catalan polynomials which are defined in A274886. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..41.

Peter Luschny, Orbitals

MAPLE

# Function QExtCatalan is defined in A274886.

seq(max(QExtCatalan(n, q)), n=0..20);

MATHEMATICA

(* Function QExtCatalan is defined in A274886. *)

Table[Max[CoefficientList[QExtCatalan[n] // FunctionExpand, q]], {n, 0, 30}]

PROG

(Sage)

# Function q_ext_catalan_number is in A274886.

print [max(q_ext_catalan_number(n).list()) for n in (0..41)]

CROSSREFS

Cf. A274882, A274886.

Sequence in context: A205377 A082010 A318972 * A113176 A113175 A109191

Adjacent sequences:  A275210 A275211 A275212 * A275214 A275215 A275216

KEYWORD

nonn

AUTHOR

Peter Luschny, Jul 20 2016

STATUS

approved

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Last modified April 20 17:54 EDT 2019. Contains 322310 sequences. (Running on oeis4.)