A245280 Decimal expansion of a2, the second of two constants associated with Djokovic's conjecture on an integral inequality.

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

Offset

0,1

References

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 3.1.1 Djokovic's Conjecture, p. 210.

Links

Table of n, a(n) for n=0..103.

Formula

1 - A245279.

Positive root of 12*x^3 - 20*x^2 + 12*x - 3.

Equals (r - 8/r + 10)/18, where r = (27*sqrt(17)+109)^(1/3).

Example

0.81751211247802066015832060851217933512469606167494596788013350054348116...

Mathematica

a2 = 1 - Root[12*x^3 - 16*x^2 + 8*x - 1, x, 1]; RealDigits[a2, 10, 103] // First

Crossrefs

Cf. A245279.

Sequence in context: A010157 A244089 A195489 * A200585 A301908 A200277

Adjacent sequences: A245277 A245278 A245279 * A245281 A245282 A245283

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Jul 16 2014

Status

approved