A290444 a(n) = Bell(n)*Motzkin(n).

1, 1, 4, 20, 135, 1092, 10353, 111379, 1337220, 17657745, 253753300, 3934348860, 65357103067, 1156505021895, 21692653556148, 429508201237740, 8944455477773649, 195294184991801316, 4458314558395176738, 106151731888618579188, 2630277877344143416068, 67691533135923616420809

Offset

0,3

Links

Table of n, a(n) for n=0..21.

Mathematica

motzkin[n_]:=Hypergeometric2F1[(1-n)/2, -n/2, 2, 4]; Table[BellB[n] motzkin[n], {n, 0, 50}] (* Indranil Ghosh, Aug 04 2017 *)

Crossrefs

Cf. A000110, A001006, A290445, A290446.

Sequence in context: A292468 A360660 A143463 * A270665 A330538 A141716

Adjacent sequences: A290441 A290442 A290443 * A290445 A290446 A290447

Keyword

nonn

Author

N. J. A. Sloane, Aug 04 2017

Status

approved