A067300 - OEIS

A067300

One third of third column of triangle A067298.

3, 12, 100, 1024, 11632, 140864, 1782080, 23273984, 311407360, 4246776832, 58812433408, 824868814848, 11692779565056, 167254617440256, 2411126992093184, 34994856661483520, 510941885186637824

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(n)=A067298(n+2, 2)/3.

G.f.: ((1-4*x)*c(4*x)+2)/(1-2*x*c(4*x))^2, with c(x) is g.f. for A000108 (Catalan).

CROSSREFS

Cf. A067299 (second column), 8*A067301 (fourth column).

Sequence in context: A145074 A374582 A162055 * A133359 A102687 A202302

Adjacent sequences: A067297 A067298 A067299 * A067301 A067302 A067303

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Feb 05 2002

STATUS

approved