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Search: id:A119975
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| A119975 |
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E.g.f. exp(x)*(Bessel_I(0,2*sqrt(2)x)+Bessel_I(1,2*sqrt(2)x)/sqrt(2)). |
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+0
2
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| 1, 2, 7, 22, 77, 266, 947, 3382, 12217, 44338, 161855, 593110, 2181445, 8046650, 29759147, 110303798, 409655281, 1524056546, 5678827511, 21189499030, 79164147389, 296094973418, 1108623865123, 4154794910518, 15584520425641
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of A098660. Binomial transform is A119976.
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FORMULA
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G.f.: (1+3x)/(6x*sqrt(1-2x-7x^2)-1/(6x); a(n)=sum{k=0..n, C(n,k)*C(k,floor(k/2))2^floor(k/2)}; a(n)=sum{k=0..n, sum{j=0..n, C(n,j-k)*C(k,j-k)*2^(j-k)}}.
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CROSSREFS
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Sequence in context: A151439 A007141 A090831 this_sequence A106188 A132838 A047095
Adjacent sequences: A119972 A119973 A119974 this_sequence A119976 A119977 A119978
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jun 02 2006
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