A118228 Decimal expansion of the Heath-Brown-Moroz constant.

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, 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, 6, 0, 2, 3, 4, 4, 4, 0, 9, 6, 1, 0, 8, 9, 5, 0, 9, 0, 8, 3, 4

Offset

0,4

References

Steven R. Finch, Mathematical Constants. Cambridge, England: Cambridge University Press, p. 106, 2003.

Links

Paolo P. Lava, Table of n, a(n) for n = 0..1000

David R. Heath-Brown and Boris Z. Moroz, The density of rational points on the cubic surface X_0^3 = X_1 X_2 X_3, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 125, No. 3 (1999), pp. 385 - 395; alternative link.

Pieter Moree, 1000-digit values of Heath-Brown-Moroz Constant, Max-Planck-Institut for Mathematic.

Eric Weisstein's World of Mathematics, Prime Products.

Eric Weisstein's World of Mathematics, Heath-Brown-Moroz Constant.

Formula

Equals Product_{p=prime}{(1 - 1/p)^7 * [1+(7*p+1)/p^2]}.

Example

0.001317641154853178109...

Prog

(PARI) prodeulerrat((1-1/p)^7 * (1+(7*p+1)/p^2)) \\ Amiram Eldar, Feb 12 2021

Crossrefs

Cf. A000040.

Sequence in context: A355928 A205298 A046913 * A359079 A245684 A082053

Adjacent sequences: A118225 A118226 A118227 * A118229 A118230 A118231

Keyword

nonn,cons

Author

Eric W. Weisstein, Apr 16 2006

Extensions

a(65) corrected by Paolo P. Lava, Apr 07 2016

Status

approved