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Search: id:A117187
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| A117187 |
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Expansion of (1+x)c(x^2)/((1-x^2*c(x^2))sqrt(1-4x^2)), c(x) the g.f. of A000108. |
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+0
3
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| 1, 1, 4, 4, 15, 15, 56, 56, 210, 210, 792, 792, 3003, 3003, 11440, 11440, 43758, 43758, 167960, 167960, 646646, 646646, 2496144, 2496144, 9657700, 9657700, 37442160, 37442160, 145422675, 145422675, 565722720
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Diagonal sums of triangle A117184. Also second column of triangle A117184.
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FORMULA
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E.g.f.: dif(Bessel_I(1,2x)+Bessel_I(2,2x)+Bessel_I(3,2x),x); a(n)=sum{k=0..n, C(n-k+1,n/2+1)(1+(-1)^n)/2+C(n-k, n/2+1/2)(1-(-1)^n)/2}.
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CROSSREFS
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Sequence in context: A019081 A059443 A097335 this_sequence A138767 A048282 A068592
Adjacent sequences: A117184 A117185 A117186 this_sequence A117188 A117189 A117190
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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), Mar 01 2006
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