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A098106
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Hankel transform of sequence (b(n)) where b(n)=sum(i=0,n,binomial(2*i,i)).
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0
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1, 3, 6, -8, -72, -144, 64, 960, 1920, -512, -10752, -21504, 4096, 110592, 221184, -32768, -1081344, -2162688, 262144, 10223616, 20447232, -2097152, -94371840, -188743680, 16777216, 855638016, 1711276032, -134217728, -7650410496, -15300820992, 1073741824, 67645734912, 135291469824
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..32.
J. W. Layman, The Hankel Transform and Some of its Properties, J. Integer Sequences, 4 (2001), #01.1.5.
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FORMULA
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a(3n)=(-8)^n; a(3n+1)=3*(-8)^n*(2*n+1); a(3n+2)=6*(-8)^n*(2*n+1)
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PROG
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(PARI) a(n)=if(n<0, 0, if(n%3, if(n%3-1, 6*(-8)^floor(n/3)*(2*floor(n/3)+1), 3*(-8)^floor(n/3)*(2*floor(n/3)+1)), (-8)^(n/3)))
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CROSSREFS
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Cf. A006134.
Sequence in context: A038064 A093899 A137129 * A059361 A103268 A114157
Adjacent sequences: A098103 A098104 A098105 * A098107 A098108 A098109
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KEYWORD
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sign
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AUTHOR
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Benoit Cloitre, Sep 22 2004
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STATUS
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approved
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