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A108082
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Sum_{i=0..n} binomial(2n+i,2i).
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0
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1, 4, 26, 176, 1204, 8273, 56967, 392688, 2708322, 18683233, 128892764, 889172365, 6133354976, 42300883471, 291696384929, 2011120962840, 13863370486596, 95548230542403, 658416136868846, 4536321401562529
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) ~ phi^(4*n + 1) / sqrt(5), where phi = A001622 = (1 + sqrt(5))/2 is the golden ratio. - Vaclav Kotesovec, Apr 12 2018
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MATHEMATICA
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Table[Sum[Binomial[2n+i, 2i], {i, 0, n}], {n, 0, 20}] (* Harvey P. Dale, Apr 12 2018 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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