A246729 Decimal expansion of r_8, the 8th smallest radius < 1 for which a compact packing of the plane exists, with disks of radius 1 and r_8.

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

Offset

0,1

Links

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

Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 62.

Formula

3rd root of x^8 - 8x^7 - 44x^6 - 232x^5 - 482x^4 - 24x^3 + 388x^2 - 120x + 9.

Example

0.5451510421225726875938077183373486963843555749734647529253568...

Mathematica

RealDigits[Root[x^8 - 8x^7 - 44x^6 - 232x^5 - 482x^4 - 24x^3 + 388x^2 - 120x + 9, x, 3], 10, 101] // First

Crossrefs

Cf. A246723 (r_1), A246724 (r_2), A246725 (r_3), A246726 (r_4), A246727 (r_5), A002193 (r_6 = sqrt(2)-1), A246728 (r_7), A246730 (r_9).

Sequence in context: A204372 A279918 A273986 * A337029 A293557 A123587

Adjacent sequences: A246726 A246727 A246728 * A246730 A246731 A246732

Keyword

nonn,cons,easy

Author

Jean-François Alcover, Sep 02 2014

Status

approved