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A238259 Area of smallest square containing n dominoes with short side lengths 1, 2, ..., n. 1
0, 4, 16, 36, 64, 121, 196, 289, 441, 576, 784, 1024, 1369, 1681, 2116, 2500, 3025, 3600, 4356, 5041 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) >= ceiling(n*(n + 1)*(2n + 1)/3).

LINKS

Table of n, a(n) for n=0..19.

Erich Friedman, Dominoes in Squares

FORMULA

a(n) = A237886(n)^2.

EXAMPLE

Illustration:

.

. - -    a - - -    a a - - - -    - - - - a a b b

. a a    a - - -    b b b b - -    c c c c c c b b

.        b b b b    b b b b - -    c c c c c c b b

.        b b b b    c c c c c c    c c c c c c b b

.                   c c c c c c    d d d d d d d d

.                   c c c c c c    d d d d d d d d

.                                  d d d d d d d d

.                                  d d d d d d d d

.

.  4        16           36               64

.

CROSSREFS

Cf. A237986.

Sequence in context: A016742 A221285 A121317 * A063755 A166721 A085040

Adjacent sequences:  A238256 A238257 A238258 * A238260 A238261 A238262

KEYWORD

nonn,hard,more

AUTHOR

Ivan Panchenko, Feb 21 2014

STATUS

approved

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Last modified April 6 11:02 EDT 2020. Contains 333273 sequences. (Running on oeis4.)