(Translated by https://www.hiragana.jp/)
A133054 - OEIS
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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
OFFSET
0,3
LINKS
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
Motzkin numbers: A001006.
Sequence in context: A318640 A088038 A061435 * A371988 A098560 A087138
KEYWORD
nonn
AUTHOR
Omar E. Pol, Oct 30 2007
STATUS
approved