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A133054 Cubes of Motzkin numbers. 1
1, 1, 8, 64, 729, 9261, 132651, 2048383, 33698267, 582182875, 10474708672, 194910229592, 3731808877831, 73218245857875, 1467320155924104, 29956212068269248, 621670415400598563, 13090510375656917139, 279262277830549534968, 6027856524470650538304 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..700

FORMULA

a(n) = A001006(n)^3.

MAPLE

a1006:= gfun:-rectoproc({(-3*x-6)*a(x+1)+(-2*x-7)*a(x+2)+(x+5)*a(x+3), a(0) = 1, a(1) = 1, a(2) = 2}, a(x), remember):

map(a1006^3, [$0..60]); # Robert Israel, Oct 03 2017

MATHEMATICA

CoefficientList[Series[(1 - x - (1 - 2 x - 3 x^2)^(1/2))/(2 x^2), {x, 0, 50}], x]^3 (* G. C. Greubel, Oct 03 2017 *)

CROSSREFS

Cf. A000578, A030078, A056570.

Motzkin numbers: A001006.

Sequence in context: A318640 A088038 A061435 * A098560 A087138 A293144

Adjacent sequences:  A133051 A133052 A133053 * A133055 A133056 A133057

KEYWORD

nonn

AUTHOR

Omar E. Pol, Oct 30 2007

STATUS

approved

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Last modified September 23 08:04 EDT 2021. Contains 347610 sequences. (Running on oeis4.)