A335094 Decimal expansion of (15 - 4*sqrt(2))/8.

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

Offset

1,3

Comments

Largest overhang off an edge achievable with four unit-length bricks.

Corresponding values for one, two and three bricks are 1/2, 3/4 and 1 respectively.

Links

Table of n, a(n) for n=1..102.

Stephen Ainley, Finely Balanced, The Mathematical Gazette, 63 (1979), p. 272.

Mike Paterson and Uri Zwick, Overhang, arXiv:0710.2357 [math.HO], 2007.

Eric Weisstein's World of Mathematics, Book Stacking Problem

Index entries for algebraic numbers, degree 2.

Formula

Minimal polynomial: 64*x^2 - 240*x + 193. - Amiram Eldar, May 25 2026

Example

1.1678932188134524755991556378951...

Mathematica

First@ RealDigits@ N[(15 - 4 Sqrt[2])/8, 102]

Prog

(PARI) (15-4*sqrt(2))/8

Crossrefs

Cf. A020761 (1/2), A152627 (3/4).

Cf. A014537, A157215, A268682.

Sequence in context: A308165 A090928 A199174 * A153604 A324031 A390143

Adjacent sequences: A335091 A335092 A335093 * A335095 A335096 A335097

Keyword

nonn,cons

Author

Jeremy Tan, Sep 12 2020

Status

approved