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A030033
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a(n+1) = Sum_{k = 0..floor(2*n/3)} a(k)*a(n-k) for n >= 0 with a(0) = 1.
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1
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1, 1, 1, 2, 4, 7, 15, 34, 72, 165, 387, 861, 2039, 4894, 11256, 27085, 66021, 156347, 381720, 940211, 2261208, 5578659, 13846756, 33654950, 83539418, 208608556, 512069441, 1278522424, 3207377196, 7925966000
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OFFSET
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0,4
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LINKS
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MAPLE
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a := proc(n) local k; option remember;
if n = 0 then 1;
else add(a(k)*a(n - 1 - k), k = 0 .. floor(2/3*n - 2/3));
end if;
end proc;
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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