A092137 Lower bound for A005842(n).

1, 3, 4, 6, 8, 10, 12, 15, 17, 20, 23, 26, 29, 32, 36, 39, 43, 46, 50, 54, 58, 62, 66, 70, 75, 79, 84, 88, 93, 98, 103, 107, 112, 117, 123, 128, 133, 138, 144, 149, 155, 160, 166, 172, 178, 184, 189, 195, 202, 208

Offset: 1

Author

Rob Pratt, Mar 30 2004

Keywords

• easy
• nonn

Comments

Area of square must be large enough to contain all n squares without overlap.

Crossrefs

Cf. A005842.

Programs

Mathematica

Table[Ceiling[Sqrt[Sum[k^2, {k, 1, n}]]], {n, 1, 50}]

Formula

a(n) = ceiling(sqrt(Sum_{k=1..n} k^2)).