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A115138
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A sequence related to Catalan numbers A000108.
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1
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1, -1, 1, 15, 113, 783, 5361, 36879, 255985, 1794063, 12689393, 90505231, 650379249, 4705157135, 34244198385, 250572963855, 1842382110705, 13605619630095, 100872203796465, 750556607938575, 5602962592235505, 41952165966643215, 314983352736153585
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,4
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COMMENTS
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See also A115150, the third diagonal of triangle A113647 (called Y(2,1)).
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LINKS
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FORMULA
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(1-4*x)*(2*c(2*x)-1)/(1+x) with c(x) g.f. of A000108 (Catalan).
a(n)= b(n)-4*b(n-1) with b(n):=A062992(n), n>=2; a(0)=1, a(1)=-1.
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EXAMPLE
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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