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A210672
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a(0)=1; thereafter a(n) = 2*Sum_{k=1..n} binomial(2n,2k)*a(n-k).
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6
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1, 2, 26, 842, 50906, 4946282, 704888186, 138502957322, 35887046307866, 11855682722913962, 4863821092813045946, 2425978759725443056202, 1445750991051368583278426, 1014551931766896667943384042, 828063237870027116855857421306, 777768202388460616924079724057482
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OFFSET
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0,2
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COMMENTS
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Consider the sequence defined by a(0)=1; thereafter a(n) = 2*Sum_{k=1..n} binomial(2n,2k)*a(n-k). For k = -3, -2, -1, 1, 2, 3 this is A210676, A210657, A028296, A094088, A210672, A210674.
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LINKS
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Table of n, a(n) for n=0..15.
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MAPLE
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f:=proc(n, k) option remember; local i;
if n=0 then 1
else k*add(binomial(2*n, 2*i)*f(n-i, k), i=1..floor(n)); fi; end;
g:=k->[seq(f(n, k), n=0..40)];
g(2);
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CROSSREFS
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Sequence in context: A156212 A138524 A059516 * A173103 A002704 A015215
Adjacent sequences: A210669 A210670 A210671 * A210673 A210674 A210675
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Mar 28 2012
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STATUS
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approved
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