A343069 Decimal expansion of 2*(1+5*sqrt(2))/7.

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

Offset: 1

Author

Wesley Ivan Hurt, May 23 2021

Keywords

• nonn
• cons

Comments

Dissect the unit square into 7 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.

Examples

			2.3060193748187072125738410...
		

Crossrefs

Similar sequences into k regions: A344520 (k=3), A344554 (k=5), A344568 (k=9), A344569 (k=17).

Programs

Mathematica

RealDigits[2 (1 + 5 Sqrt[2])/7, 10, 200][[1]] // Flatten

Formula

Decimal expansion of 2*(1 + k*sqrt(1/k^2 + 1))/k, where k = 7.