cp's OEIS Frontend

A364794 Number of distinct binary arrays of size n X n with respect to isometric transformations.

%I A364794 #37 Sep 13 2023 23:17:25
%S A364794 1,2,6,86,7626,3956996,8326366368,69277957195904,2287898999182608384,
%T A364794 301053169143557925650432,158147142250171927345054089216,
%U A364794 331982638848895606930198405868158976,2786232352655643085145552249123037486514176
%N A364794 Number of distinct binary arrays of size n X n with respect to isometric transformations.
%H A364794 Johnny Sammon, <a href="/A364794/a364794_3.pdf">Counting Distinct Binary Arrays With Respect To Isometric Transformations</a>.
%e A364794 For n = 2, the a(2) = 6 distinct binary arrays are
%e A364794   OO  XO  XX  XO  XX  XX
%e A364794   OO  OO  OO  OX  XO  XX
%e A364794 For n = 4
%e A364794   OOXX                                OOXO
%e A364794   OXXO  is considered equivalent to   XXXX
%e A364794   OOXO                                OOOX
%e A364794   OOXO                                OOOO
%e A364794 because we can rotate the bounding box of the Xs 90 degrees clockwise and place it back into the array as given above.
%Y A364794 Cf. A054247 (without shift), A255016 (on n X n torus).
%K A364794 nonn,more
%O A364794 0,2
%A A364794 _Johnny Sammon_, Aug 08 2023