

A092137


Lower bound for A005842(n).


1



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
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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



