A111969 Decimal expansion of the area of Graham's biggest little hexagon.

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

Offset

0,1

Comments

An algebraic number of degree 10. - Charles R Greathouse IV, Jul 11 2020

References

John H. Conway and Richard K. Guy, The Book of Numbers, New York: Springer-Verlag, 1996. See p. 207.

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 8.15, p. 526.

Links

Table of n, a(n) for n=0..105.

R. L. Graham, The largest small hexagon, Journal of Combinatorial Theory, Series A, Volume 18, Issue 2 (1975), pp. 165-170.

James Grime and Brady Haran, The Largest Small Hexagon, Numberphile video (2021).

Eric Weisstein's World of Mathematics, Graham's Biggest Little Hexagon.

Wikipedia, Biggest little polygon.

Index entries for algebraic numbers, degree 10.

Example

0.67498144293010470368849583185140028898029773227802661...

Mathematica

RealDigits[Root[11993 - 78488 # + 144464 #^2 + 1232 #^3 - 221360 #^4 + 146496 #^5 + 21056 #^6 - 30848 #^7 - 3008 #^8 + 8192 #^9 + 4096 #^10 &, 5], 10, 100][[1]]

Prog

(PARI) polrootsreal(4096*x^10 + 8192*x^9 - 3008*x^8 - 30848*x^7 + 21056*x^6 + 146496*x^5 - 221360*x^4 + 1232*x^3 + 144464*x^2 - 78488*x + 11993)[5] \\ Charles R Greathouse IV, Jul 11 2020

Crossrefs

Cf. A111970, A111971.

Cf. A381252 (octagon), A383173 (decagon).

Sequence in context: A395804 A364356 A292101 * A296480 A021601 A305328

Adjacent sequences: A111966 A111967 A111968 * A111970 A111971 A111972

Keyword

nonn,cons

Author

Eric W. Weisstein, Aug 23 2005

Status

approved