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A272719 Maximal number of steps in a nontouching path on an n X n grid such that each step has a different length. 1

%I

%S 2,5,8,12,17

%N Maximal number of steps in a nontouching path on an n X n grid such that each step has a different length.

%C a(7) >= 22, see illustration in Links.

%H Giovanni Resta, <a href="/A272719/a272719.png">Illustration of a(2)-a(6) and a(7) >= 22</a>

%e An example for a(6)=17:

%e ----------------

%e . 2 5 7 9 15

%e 3 1 . . 11 17

%e . . . . . .

%e . 6 . 12 . .

%e 4 10 . . . .

%e 8 13 . 14 16 18

%Y Cf. A226595.

%K nonn,hard,more

%O 2,1

%A _Giovanni Resta_, May 05 2016

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Last modified July 31 04:12 EDT 2021. Contains 346367 sequences. (Running on oeis4.)