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A108308
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Expansion of 1/(1-x^2*c(2x)), c(x) the g.f. of A000108.
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1
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1, 0, 1, 2, 9, 44, 245, 1462, 9157, 59368, 395033, 2682282, 18510561, 129451492, 915401757, 6534282398, 47020440413, 340733200288, 2484299720065, 18211441554706, 134145473550009, 992385470273692, 7370066147881413
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Diagonal sums of A110510.
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FORMULA
| a(0)=1, a(n)=sum{k=0..floor(n/2), (k/(n-k))*C(2n-3k-1, n-2k)*2^(n-2k)}, n>0.
Conjecture: 2*(n-1)*a(n) +(41-17*n)*a(n-1) +4*(2n-5)*a(n-2) +(n-1)*a(n-3) +4*(5-2n)*a(n-4)=0. - R. J. Mathar, Dec 10 2011
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CROSSREFS
| Sequence in context: A162356 A026302 A124889 * A119855 A047119 A052881
Adjacent sequences: A108305 A108306 A108307 * A108309 A108310 A108311
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jul 24 2005
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