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Denominator of the coefficients of (x-1)(x-2)... in the interpolating polynomial through the first n primes.
1

%I #5 Aug 15 2015 15:03:50

%S 1,1,2,6,8,40,720,5040,8064,120960,3628800,4435200,479001600,

%T 2075673600,17435658240,1307674368000,634023936000,10162497945600,

%U 6402373705728000,17377871486976000,810967336058880000

%N Denominator of the coefficients of (x-1)(x-2)... in the interpolating polynomial through the first n primes.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/MagatasConstant.html">Magata's Constant</a>

%e 2 + (1 + (1/2 + (-1/6 + (1/8 + (...(-4 + x))*(-3 + x))*(-2 + x))*(-1 + x)

%Y Cf. A092894, A118210, A118203, A118204.

%K nonn,frac

%O 1,3

%A _Eric W. Weisstein_, Apr 14 2006