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 A290443 a(n) = Catalan(n)*Motzkin(n-1). 2
 1, 2, 10, 56, 378, 2772, 21879, 181610, 1570426, 14024660, 128623768, 1206053576, 11523121900, 111885197400, 1101664016730, 10981102287240, 110647549986930, 1125688857747300, 11551507304378580, 119462291733779280, 1244159075360113380, 13040616137944154760, 137485676447508793950 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA Conjecture: n*(n+1)^2*a(n) -2*-n*(2*n-1)^2*a(n-1) -12*(n-2)*(2*n-1)*(2*n-3)*a(n-2)=0. - R. J. Mathar, Aug 05 2017 MATHEMATICA motzkin[n_]:=Hypergeometric2F1[(1-n)/2, -n/2, 2, 4]; Table[CatalanNumber[n] motzkin[n - 1], {n, 50}] (* Indranil Ghosh, Aug 04 2017 *) CROSSREFS Cf. A000108, A001006, A151341, A290443. Sequence in context: A000172 A097971 A191277 * A336961 A265954 A093303 Adjacent sequences:  A290440 A290441 A290442 * A290444 A290445 A290446 KEYWORD nonn AUTHOR N. J. A. Sloane, Aug 04 2017 STATUS approved

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Last modified April 20 00:47 EDT 2021. Contains 343117 sequences. (Running on oeis4.)