A379533 Decimal expansion of (sqrt(13) - 1)/36.

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

Offset

0,2

Comments

Lower bound to the 8th Heilbronn triangle constant.

References

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

Links

Table of n, a(n) for n=0..100.

Francesc Comellas and J. Luis A. Yebra, New lower bounds for Heilbronn numbers, Elec. J. Combin. 9 (2002) R6. See pp. 4-5, 8.

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 108*x^2 + 6*x - 1. - Stefano Spezia, Aug 03 2025

Example

0.072376424318444147031089479651958220729202682606812...

Mathematica

RealDigits[(Sqrt[13]-1)/36, 10, 100][[1]]

Prog

(PARI) (sqrt(13)-1)/36 \\ Charles R Greathouse IV, May 19 2026

Crossrefs

Cf. A010470, A248866, A343851, A379534.

Sequence in context: A242671 A065476 A019945 * A335825 A336011 A193027

Adjacent sequences: A379530 A379531 A379532 * A379534 A379535 A379536

Keyword

nonn,cons,easy

Author

Stefano Spezia, Dec 24 2024

Status

approved