A344569 Decimal expansion of 2*(1+sqrt(290))/17.

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

Offset: 1

Author

Wesley Ivan Hurt, May 23 2021

Keywords

• nonn
• cons

Comments

Dissect the unit square into 17 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

			2.121104278344282490133331979...
		

Crossrefs

Similar sequences into k regions: A344520 (k=3), A344554 (k=5), A343069 (k=7), A344568 (k=9).

Programs

Mathematica

RealDigits[2 (1 + Sqrt[290])/17, 10, 200][[1]] // Flatten

Formula

Decimal expansion of 2*(1 + k*sqrt(1/k^2 + 1))/k, where k = 17.