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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).

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

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 June 19 03:34 EDT 2018. Contains 305572 sequences. (Running on oeis4.)