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Search: id:A038629
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A038629 Convolution of Catalan numbers A000108 with Catalan numbers but C(0)=1 replaced by 3. +0
4
3, 4, 9, 24, 70, 216, 693, 2288, 7722, 26520, 92378, 325584, 1158924, 4160240, 15043725, 54747360, 200360130, 736928280, 2722540590, 10098646800, 37594507860, 140415097680, 526024740930, 1976023374624, 7441754696100 (list; graph; listen)
OFFSET

0,1

FORMULA

a(n) = 6*binomial(2*n, n)/(n+2) = C(n+1)+2*C(n), C(n): Catalan numbers, G.f. c(x)*(c(x)+2), c(x): G.f. for Catalan numbers

CROSSREFS

Cf. A000108.

Sequence in context: A089243 A034921 A038222 this_sequence A105229 A080849 A058857

Adjacent sequences: A038626 A038627 A038628 this_sequence A038630 A038631 A038632

KEYWORD

easy,nonn

AUTHOR

wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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