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Search: id:A110199
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| A110199 |
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Sum C(k), k=0..floor(n/2). |
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+0
1
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| 1, 1, 2, 2, 4, 4, 9, 9, 23, 23, 65, 65, 197, 197, 626, 626, 2056, 2056, 6918, 6918, 23714, 23714, 82500, 82500, 290512, 290512, 1033412, 1033412, 3707852, 3707852, 13402697, 13402697, 48760367, 48760367, 178405157, 178405157, 656043857
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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G.f.: (1-sqrt(1-4x^2))/((1-x)2x^2); a(n)=sum{k=0..floor(n/2), binomial(2k, k)/(k+1)}.
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MAPLE
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a:=n->sum(binomial(2*j, j)/(j+1), j=0..n): seq(a(n/2), n=0..36); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 30 2007
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CROSSREFS
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Cf. A014137.
Sequence in context: A118406 A072488 A074818 this_sequence A053656 A035054 A099537
Adjacent sequences: A110196 A110197 A110198 this_sequence A110200 A110201 A110202
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jul 15 2005
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