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A133053 Squares of Motzkin numbers. 3
1, 1, 4, 16, 81, 441, 2601, 16129, 104329, 697225, 4787344, 33616804, 240591121, 1750167225, 12912685956, 96454967184, 728405920089, 5554407254841, 42724289649924, 331213938112656 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = A001006(n)^2
MATHEMATICA
CoefficientList[Series[(1 - x - (1 - 2x - 3x^2)^(1/2))/(2x^2), {x, 0, 50}], x]^2 (* or *) Table[Hypergeometric2F1[(1-n)/2, -n/2, 2, 4], {n, 0, 50}]^2 (* G. C. Greubel, Oct 03 2017 *)
CROSSREFS
Cf. A000290, A001248, A007598. Motzkin numbers: A001006.
Sequence in context: A118997 A337839 A001257 * A342326 A110378 A076997
KEYWORD
nonn
AUTHOR
Omar E. Pol, Oct 30 2007
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)