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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 G. C. Greubel, Table of n, a(n) for n = 0..1000 Cyril Banderier, Markus Kuba, Stephan Wagner, and Michael Wallner, Composition schemes: q-enumerations and phase transitions, arXiv:2311.17226 [math.CO], 2023. See p. 7. 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 Adjacent sequences: A133050 A133051 A133052 * A133054 A133055 A133056 KEYWORD nonn AUTHOR Omar E. Pol, Oct 30 2007 STATUS approved

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Last modified September 9 10:46 EDT 2024. Contains 375764 sequences. (Running on oeis4.)