A237986 Area of smallest square containing n L's with short side lengths 1, 2, ..., n.

0, 4, 16, 49, 121, 196, 324, 484, 676, 961, 1296, 1681, 2116, 2704, 3364, 3969, 4761, 5625, 6724

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Erich Friedman, L's in Squares

Formula

a(n) = A211372(n)^2

Example

Illustration:
.
. a -     b b a -    - - - b b b b    - - - - - - - - a b b
. a a     b b a a    c c c b b b b    - - - - - - - a a b b
.         b b b b    c c c b b a a    - - - - - - - b b b b
.         b b b b    c c c b b a -    d d d d - - - b b b b
.                    c c c c c c -    d d d d - c c c c c c
.                    c c c c c c -    d d d d - c c c c c c
.                    c c c c c c -    d d d d - c c c c c c
.                                     d d d d d d d d c c c
.                                     d d d d d d d d c c c
.                                     d d d d d d d d c c c
.                                     d d d d d d d d - - -
.
.  4         16            49                  121
.

Crossrefs

Sequence in context: A222936 A370019 A119005 * A086601 A224147 A227266

Adjacent sequences: A237983 A237984 A237985 * A237987 A237988 A237989

Keyword

nonn,hard,more

Author

Ivan Panchenko, Feb 16 2014

Status

approved