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A070031 Expansion of (1+x*C)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108. +0
1
1, 4, 13, 42, 138, 462, 1573, 5434, 19006, 67184, 239666, 861764, 3120180, 11366370, 41630805, 153216570, 566343030, 2101610280, 7826451270, 29240172780, 109566326220, 411671536380, 1550629453698, 5854180360932 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=2(5n+3)binomial(2n+1, n)/[(n+2)(n+3)] - Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 13 2002

CROSSREFS

Adjacent sequences: A070028 A070029 A070030 this_sequence A070032 A070033 A070034

Sequence in context: A010919 A022029 A010900 this_sequence A082989 A047144 A072307

KEYWORD

nonn

AUTHOR

njas, Jun 06 2002

page 1

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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