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A364480 Table of Sprague-Grundy values for M X N Pop-It! hooks read by antidiagonals.

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%I A364480 #41 Feb 14 2024 13:56:27
%S A364480 1,2,2,3,3,3,4,4,4,4,5,5,1,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,
%T A364480 8,8,9,9,9,9,1,9,9,9,9,10,10,10,10,2,2,10,10,10,10,11,11,11,11,3,3,3,
%U A364480 11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,12
%N A364480 Table of Sprague-Grundy values for M X N Pop-It! hooks read by antidiagonals.
%C A364480 Pop-It! is played on an M X N lattice graph with a "pip" at each node.  A move consists of popping any number of pips that are all collinear on the same horizontal or vertical line.  A hook h(a,b) is defined as two lines of lengths a and b connected by a corner pip.  The total number of pips of a hook h(a,b) is a+b+1.
%C A364480 This table seems to have similarities to A354586.
%H A364480 Ryan J. Blau, <a href="/A364480/a364480.png">Colored pattern of hook Sprague-Grundy values</a>.
%H A364480 Ryan J. Blau, <a href="/A364480/a364480.py.txt">Python Code</a>.
%e A364480 Table begins
%e A364480    1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, ...
%e A364480    2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, ...
%e A364480    3,  4,  1,  6,  7,  8,  9, 10, 11, 12, 13, ...
%e A364480    4,  5,  6,  7,  8,  9, 10, 11, 12, 13, ...
%e A364480    5,  6,  7,  8,  1,  2,  3, 12, 13, ...
%e A364480    6,  7,  8,  9,  2,  3, 12, 13, ...
%e A364480    7,  8,  9, 10,  3, 12,  1, ...
%e A364480    8,  9, 10, 11, 12, 13, ...
%e A364480    9, 10, 11, 12, 13, ...
%e A364480   10, 11, 12, 13, ...
%e A364480   11, 12, 13, ...
%e A364480   12, 13, ...
%e A364480   13, ...
%e A364480   ...
%Y A364480 Sprague-Grundy values for Toppling Dominoes L's: A354586.
%Y A364480 Cf. A038712 (main diagonal).
%K A364480 nonn,tabl,look
%O A364480 1,2
%A A364480 _Ryan J. Blau_, _Michael Carrion_, _Djeneba Diop_, _Sarah Dumnich_, _Matt Prudente_, and _Nathan B. Shank_, Jul 26 2023