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%I #39 Feb 12 2021 04:51:02
%S 0,0,1,3,1,7,6,4,1,1,5,4,8,5,3,1,7,8,1,0,9,8,1,7,3,5,2,3,2,2,5,1,3,5,
%T 8,5,9,5,1,2,5,0,7,3,4,3,2,3,2,9,5,2,5,1,6,7,8,7,9,2,5,4,7,4,2,1,7,8,
%U 6,0,2,3,4,4,4,0,9,6,1,0,8,9,5,0,9,0,8,3,4
%N Decimal expansion of the Heath-Brown-Moroz constant.
%D Steven R. Finch, Mathematical Constants. Cambridge, England: Cambridge University Press, p. 106, 2003.
%H Paolo P. Lava, <a href="/A118228/b118228.txt">Table of n, a(n) for n = 0..1000</a>
%H David R. Heath-Brown and Boris Z. Moroz, <a href="https://doi.org/10.1017/S0305004198003089">The density of rational points on the cubic surface X_0^3 = X_1 X_2 X_3</a>, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 125, No. 3 (1999), pp. 385 - 395; <a href="https://ora.ox.ac.uk/objects/uuid:c0ac6ad5-577c-49a7-acdd-72b7f5865cb2/download_file?file_format=pdf&safe_filename=rhbbzm.pdf">alternative link</a>.
%H Pieter Moree, <a href="http://guests.mpim-bonn.mpg.de/moree/Moree-details.en.shtml#t45-hbm">1000-digit values of Heath-Brown-Moroz Constant</a>, Max-Planck-Institut for Mathematic.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PrimeProducts.html">Prime Products</a>.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Heath-Brown-MorozConstant.html">Heath-Brown-Moroz Constant</a>.
%F Equals Product_{p=prime}{(1 - 1/p)^7 * [1+(7*p+1)/p^2]}.
%e 0.001317641154853178109...
%o (PARI) prodeulerrat((1-1/p)^7 * (1+(7*p+1)/p^2)) \\ _Amiram Eldar_, Feb 12 2021
%Y Cf. A000040.
%K nonn,cons
%O 0,4
%A _Eric W. Weisstein_, Apr 16 2006
%E a(65) corrected by _Paolo P. Lava_, Apr 07 2016
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