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A162482 Expansion of (1/(1-x)^3)*M(x/(1-x)^3), M(x) the g.f. of Motzkin numbers A001006. 1
1, 4, 14, 53, 218, 945, 4235, 19441, 90947, 432030, 2078416, 10105435, 49578341, 245131321, 1220218293, 6110131376, 30756858405, 155547919269, 789965192900, 4027121386190, 20600180351659, 105707046807196, 543973305719611 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

G.f.: 1/((1-x)^3-x-x^2/((1-x)^3-x-x^2/((1-x)^3-x-x^2/((1-x)^3-x-x^2/(1-... (continued fraction);

a(n)=sum{k=0..n, C(n+2k+2,n-k)*A001006}.

CROSSREFS

Cf. A162481.

Sequence in context: A047118 A017948 A112872 * A000651 A192247 A118896

Adjacent sequences:  A162479 A162480 A162481 * A162483 A162484 A162485

KEYWORD

nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jul 04 2009

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Last modified February 15 18:22 EST 2012. Contains 205835 sequences.