This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A028340 #23 Nov 25 2016 05:22:40 %S A028340 1,16,230,3480,57379,1038016,20570444,444647600,10431670821, %T A028340 264300628944,7198061846898,209814739262856,6520139954328519, %U A028340 215245451727154944,7524314127912551832,277705505168550027360,10792700030471840300745,440604294676004639627280 %N A028340 Coefficient of x^3 in expansion of (x+1)*(x+3)*...*(x+2*n-1). %C A028340 Equals fourth left hand column of A161198 triangle divided by 8. - _Johannes W. Meijer_, Jun 08 2009 %H A028340 G. C. Greubel, <a href="/A028340/b028340.txt">Table of n, a(n) for n = 3..400</a> %F A028340 a(n) = Sum_{i=k+1..n} (-1)^(k+1-i)*2^(n-1)*binomial(i-1, k)*s1(n, i) 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.: -(log(1-2*x))^3/( 48*sqrt(1-2*x) ). - _Vladeta Jovovic_, Feb 19 2003 %t A028340 Table[Coefficient[Product[x + 2*k - 1, {k, 1, n}], x, 3], {n,3,50}] (* _G. C. Greubel_, Nov 24 2016 *) %o A028340 (PARI) a(n) = polcoeff(prod(k=1, n, x+2*k-1), 3); \\ _Michel Marcus_, Nov 12 2014 %Y A028340 Cf. A028338, A161198. %K A028340 nonn %O A028340 3,2 %A A028340 _Bill Gosper_ %E A028340 More terms from _Michel Marcus_, Nov 12 2014