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A119976
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E.g.f. exp(2x)*(Bessel_I(0,2*sqrt(2)x)+Bessel_I(1,2*sqrt(2)x)/sqrt(2)).
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1
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1, 3, 12, 50, 216, 952, 4256, 19224, 87520, 400928, 1845888, 8533824, 39590656, 184216320, 859354112, 4017738112, 18820855296, 88317817344, 415075665920, 1953473141760, 9205135036416, 43425512132608, 205072796270592
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Binomial transform of A119975. Binomial transform is A047781(n+1).
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FORMULA
| G.f.: (1+2x)/(4x*sqrt(1-4x-4x^2))-1/(4x);
a(n)=sum{k=0..n, 2^(n-k)*C(n,k)*C(k,floor(k/2))2^floor(k/2)}.
Conjecture: (n+1)*a(n) -2*(n+2)*a(n-1) +12*(1-n)*a(n-2) +8*(2-n)*a(n-3) = 0. - R. J. Mathar, Dec 10 2011
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CROSSREFS
| Sequence in context: A092443 A108080 A113441 * A074547 A151178 A151179
Adjacent sequences: A119973 A119974 A119975 * A119977 A119978 A119979
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jun 02 2006
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