A211372 - OEIS

A211372

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

%I #21 Aug 13 2020 18:25:49

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

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

%C 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

%H Erich Friedman, <a href="https://erich-friedman.github.io/packing/clinsqu/">L's in Squares</a>

%e Illustration:

%e .

%e . a - b b a - - - - b b b b - - - - - - - - a b b

%e . a a b b a a c c c b b b b - - - - - - - a a b b

%e . b b b b c c c b b a a - - - - - - - b b b b

%e . b b b b c c c b b a - d d d d - - - b b b b

%e . c c c c c c - d d d d - c c c c c c

%e . d d d d d d d d c c c

%e . d d d d d d d d - - -

%e .

%e . 2 4 7 11

%e .

%K nonn,hard,more

%O 1,1

%A _Arkadiusz Wesolowski_, Feb 06 2013