A379214 Decimal expansion of (sqrt(3) + sqrt(5) + 2*sqrt(6))/(8*sqrt(2)).

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

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 8.6, p. 505.

Links

Table of n, a(n) for n=0..99.

Index entries for algebraic numbers, degree 8.

Formula

Minimal polynomial: 16777216*x^8 - 16777216*x^6 + 4595712*x^4 - 385024*x^2 + 2401. - Stefano Spezia, Aug 03 2025

Example

0.78374816457669166276912268657263121209104522720146...

Mathematica

RealDigits[(Sqrt[3]+Sqrt[5]+2Sqrt[6])/(8Sqrt[2]), 10, 100][[1]]

Prog

(PARI) (sqrt(3)+sqrt(5)+2*sqrt(6))/(8*sqrt(2)) \\ Charles R Greathouse IV, May 19 2026

Crossrefs

Cf. A002163, A002194, A010464, A010480, A377342.

Sequence in context: A083648 A133613 A388808 * A296140 A194622 A193010

Adjacent sequences: A379211 A379212 A379213 * A379215 A379216 A379217

Keyword

nonn,cons,easy

Author

Stefano Spezia, Dec 23 2024

Status

approved