Search: id:A028340
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%I A028340
%S A028340 1,16,230,3480,57379,1038016,20570444,444647600,10431670821,
%T A028340 264300628944,7198061846898,209814739262856,6520139954328519,
%U A028340 215245451727154944,7524314127912551832,277705505168550027360
%N A028340 Coefficient of x^3 in expansion of (x+1)(x+3)...(x+2n-1).
%F A028340 sum[(-1)^(k+1-i) 2^(n-1) binomial(i-1, k) s1(n, i), i=k+1..n] with k 
               = 3, where s1(n, i) are unsigned Stirling numbers of the first kind 
               - Victor Adamchik (adamchik(AT)ux10.sp.cs.cmu.edu), Jan 23, 2001
%F A028340 E.g.f.: -1/48*(1-2*x)^(-1/2)*ln(1-2*x)^3. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Feb 19 2003
%Y A028340 Cf. A028338.
%Y A028340 Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 08 
               2009: (Start)
%Y A028340 Equals fourth left hand column of A161198 triangle divided by 8.
%Y A028340 (End)
%Y A028340 Sequence in context: A098301 A014897 A048445 this_sequence A119463 A111096 
               A161591
%Y A028340 Adjacent sequences: A028337 A028338 A028339 this_sequence A028341 A028342 
               A028343
%K A028340 nonn
%O A028340 3,2
%A A028340 R. W. Gosper

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