A379534 Decimal expansion of (9*sqrt(65) - 55)/320.

0, 5, 4, 8, 7, 5, 9, 9, 9, 1, 7, 0, 8, 9, 6, 7, 0, 8, 9, 7, 2, 8, 1, 0, 9, 9, 7, 1, 0, 2, 2, 9, 3, 5, 6, 3, 0, 6, 3, 1, 5, 4, 8, 9, 6, 0, 9, 5, 2, 4, 1, 1, 2, 6, 5, 3, 5, 7, 1, 6, 6, 6, 0, 9, 4, 8, 0, 4, 6, 4, 8, 2, 9, 9, 7, 5, 9, 7, 4, 8, 0, 7, 0, 8, 2, 5, 4, 3, 3, 8, 7, 5, 1, 4, 2, 2, 1, 1, 1, 8, 5

Offset: 0

Author

Stefano Spezia, Dec 24 2024

Keywords

• nonn
• cons
• easy

Comments

Lower bound to the 9th Heilbronn triangle constant.

Examples

			0.054875999170896708972810997102293563063154896095241...
		

References

• Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 8.16, p. 527.

Links

• Francesc Comellas and J. Luis A. Yebra, New lower bounds for Heilbronn numbers, Elec. J. Combin. 9 (2002) R6. See pp. 6, 8.

Crossrefs

Cf. A010517, A248866, A343851, A379533.

Programs

Mathematica

RealDigits[(9Sqrt[65]-55)/320,10,100][[1]]

Formula

Minimal polynomial: 320*x^2 + 110*x - 7. - Stefano Spezia, Aug 03 2025