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

0,6

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..100

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) # 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)])

Crossrefs

Cf. A274882, A274886.

Sequence in context: A318972 A341495 A337943 * A113176 A113175 A109191

Adjacent sequences: A275210 A275211 A275212 * A275214 A275215 A275216

Keyword

nonn

Author

Peter Luschny, Jul 20 2016

Status

approved