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

%I #5 Aug 15 2015 15:03:58

%S 2,1,1,-1,1,-3,23,-53,23,-79,457,-89,1213,-463,89,3667,-457,1181,

%T -95059,27967,-123601,93209,-10741,29,-392351,1560269,73789,-1224791,

%U 36000427,-339667,280099,-64339153,22544987,-1599245737,42785159,-133486139,5539281131

%N Numerators 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, A118211, A118203, A118204.

%K sign,frac

%O 1,1

%A _Eric W. Weisstein_, Apr 14 2006