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 A175925 a(n) = (2*n+1)*(n+1)!. 1
 1, 6, 30, 168, 1080, 7920, 65520, 604800, 6168960, 68947200, 838252800, 11017036800, 155675520000, 2353813862400, 37922556672000, 648606486528000, 11737685127168000, 224083079700480000, 4500868715126784000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The denominators of the Taylor expansion coefficients of the double integral d(u) = int_0^1 dx int_0^1 dy exp(-u^2*(x-y)^2) = Sum_{n>=0} (-1)^n*u^(2n)/a(n). LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..400 D. H. Bailey, J. M. Borwein, R. E. Crandall, Advances in the theory of box integrals, Math. Comp. 79 (271) (2010) 1839-1866, eq (18). Milan JanjiÄ‡, Pascal Matrices and Restricted Words, J. Int. Seq., Vol. 21 (2018), Article 18.5.2. FORMULA a(n) = A005408(n)*A000142(n+1) = (n+1)*A007680(n). E.g.f.: (1 + 3*x)/(1 - x)^3. - Ilya Gutkovskiy, May 12 2017 MAPLE A := proc(n) (2*n+1)*(n+1)! ; end proc: MATHEMATICA Table[(2n+1)(n+1)!, {n, 0, 20}] (* Harvey P. Dale, Sep 30 2011 *) PROG (MAGMA) [(2*n+1)*Factorial(n+1): n in [0..20]]; // Vincenzo Librandi, Oct 11 2011 CROSSREFS Cf. A000142, A005408, A007680. Sequence in context: A038155 A026331 A135490 * A110706 A001341 A089896 Adjacent sequences:  A175922 A175923 A175924 * A175926 A175927 A175928 KEYWORD nonn,easy AUTHOR R. J. Mathar, Oct 19 2010 STATUS approved

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Last modified October 22 00:52 EDT 2019. Contains 328315 sequences. (Running on oeis4.)