A211372 Side length of smallest square containing n L's with short sides 1, 2, ..., n.

2, 4, 7, 11, 14, 18, 22, 26, 31, 36

Offset

1,1

Comments

Known upper bounds for the next terms are: a(11) <= 41, a(12) <= 46, a(13) <= 51, a(14) <= 57, a(15) <= 63, a(16) <= 69, a(17) <= 75, a(18) <= 82, a(19) <= 88, a(20) <= 95. - Arkadiusz Wesolowski, Feb 10 2016

Links

Table of n, a(n) for n=1..10.

Erich Friedman, L's in Squares

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 - - -
.
.  2         4             7                    11
.

Crossrefs

Sequence in context: A064690 A138766 A192638 * A054850 A225154 A167805

Adjacent sequences: A211369 A211370 A211371 * A211373 A211374 A211375

Keyword

nonn,hard,more

Author

Arkadiusz Wesolowski, Feb 06 2013

Status

approved