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Search: id:A104859
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| 1, 2, 5, 17, 72, 345, 1773, 9525, 52788, 299463, 1730178, 10144818, 60211926, 361042498, 2183809018, 13308564682, 81637319641, 503667864976, 3123298907641, 19456221197941, 121696331095636, 764008782313381
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OFFSET
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0,2
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FORMULA
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a(n)=sum(binomial(3k, k)/(2k+1), k=0..n). G.f.=T(z)/(1-z), where T=1+zT^3. G.f.=2sin[(1/3)arcsin(sqrt(27z/4))]/[(1-z)sqrt(3z)].
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MAPLE
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a:=n->sum(binomial(3*k, k)/(2*k+1), k=0..n): seq(a(n), n=0..26);
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CROSSREFS
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Cf. A001764.
Sequence in context: A101900 A082282 A005967 this_sequence A108289 A007779 A084161
Adjacent sequences: A104856 A104857 A104858 this_sequence A104860 A104861 A104862
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KEYWORD
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nonn
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AUTHOR
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Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 24 2005
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