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

1,2

Comments

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

Links

Table of n, a(n) for n=1..50.

Formula

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

Mathematica

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

Crossrefs

Cf. A005842.

Sequence in context: A025201 A071259 A231405 * A206580 A291899 A059608

Adjacent sequences: A092134 A092135 A092136 * A092138 A092139 A092140

Keyword

easy,nonn

Author

Rob Pratt, Mar 30 2004

Status

approved