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A111969 Decimal expansion of the area of Graham's biggest little hexagon. 2
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

LINKS

Table of n, a(n) for n=0..101.

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

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

FORMULA

Root[11993 - 78488*#1 + 144464*#1^2 + 1232*#1^3 - 221360*#1^4 + 146496*#1^5 + 21056*#1^6 - 30848*#1^7 - 3008*#1^8 + 8192*#1^9 + 4096*#1^10 &, 5, 0]

EXAMPLE

0.674981442...

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.

Sequence in context: A073177 A230848 A292101 * A296480 A021601 A305328

Adjacent sequences:  A111966 A111967 A111968 * A111970 A111971 A111972

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Aug 23 2005

STATUS

approved

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Last modified December 3 02:52 EST 2020. Contains 338898 sequences. (Running on oeis4.)