Search: id:A039619
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%I A039619
%S A039619 1,9,107,1650,31594,725592,19471500,598482000,20742534576,800575997760,
%T A039619 34059828307680,1583808130195200,79925022369273600,4350478314951982080,
%U A039619 254086498336122950400,15849890120755311667200
%N A039619 Second column of Jabotinsky-triangle A038455 related to A006963.
%C A039619 Explicit formula using partitions of n into 2 parts: cf. Knuth's paper 
               for f(n,2), n >= 2, formula with f(k) as given above.
%D A039619 D. E. Knuth, Convolution polynomials, The Mathematica J., 2.1 (1992) 
               67-78.
%F A039619 a(n) = sum(binomial(n-1, j-1)*f(j)*f(n-j), j=1..n-1) with f(k) := A006963(k+1) 
               = (2*k+1)!/k!, k >= 1.
%F A039619 E.g.f.: ln((1-sqrt(1-4*x))/x/2)^2/2. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               May 02 2003
%Y A039619 A006963, A038455.
%Y A039619 Cf. A039646.
%Y A039619 Sequence in context: A012485 A052503 A122569 this_sequence A080505 A104224 
               A099676
%Y A039619 Adjacent sequences: A039616 A039617 A039618 this_sequence A039620 A039621 
               A039622
%K A039619 nonn
%O A039619 2,2
%A A039619 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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