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A092137 Lower bound for A005842[n]. +0
2
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 (list; graph; listen)
OFFSET

1,2

COMMENT

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

FORMULA

a(n) = ceil(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: A156624 A025201 A071259 this_sequence A059608 A088071 A024182

Adjacent sequences: A092134 A092135 A092136 this_sequence A092138 A092139 A092140

KEYWORD

easy,nonn

AUTHOR

Rob Pratt (Rob.Pratt(AT)sas.com), Mar 30 2004

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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