A344568 Decimal expansion of 2*(1+sqrt(82))/9.

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

Offset

1,1

Comments

Dissect the unit square into 9 regions with equal areas from a given midpoint on the squares edge. This sequence gives the decimal expansion of the perimeter of the triangular region with unit height.

Links

Table of n, a(n) for n=1..93.

Formula

Decimal expansion of 2*(1 + k*sqrt(1/k^2 + 1))/k, where k = 9.

Example

2.2345300306972036947941795926631...

Mathematica

RealDigits[2 (1 + Sqrt[82])/9, 10, 200][[1]] // Flatten

Crossrefs

Similar sequences into k regions: A344520 (k=3), A344554 (k=5), A343069 (k=7), A344569 (k=17).

Sequence in context: A167506 A305815 A305789 * A072813 A285106 A369429

Adjacent sequences: A344565 A344566 A344567 * A344569 A344570 A344571

Keyword

nonn,cons

Author

Wesley Ivan Hurt, May 23 2021

Status

approved