%I #31 Nov 13 2023 08:44:10
%S 0,-1,-1,0,1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,
%T 324,361,400,441,484,529,576,625,676,729,784,841,900,961,1024,1089,
%U 1156,1225,1296,1369,1444,1521,1600,1681,1764,1849,1936,2025,2116,2209,2304,2401,2500
%N [0, -1, -1] together with A000290.
%C Squares leading to an autosequence of the first kind.
%C The third sequence of the array
%C A060576(n+1)= 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...
%C A289207(n)= 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, ...
%C a(n)= 0, -1, -1, 0, 1, 4, 9, 16, 25, 36, ...
%C 0, 10, 10, 5, 0, 1, 8, 27, 64, 125, ...
%C 0, -113, -113, -68, -23, 0, 1, 16, 81, 256, ... .
%C The first full vertical is (-1)^n*A033312(n).
%C From 0, the first two nonzero antidiagonals are 0, -1, 10, -113, 1526, ... = (-1)^n* A176824(n+1).
%C See OEIS Wiki, Autosequence.
%C a(n) difference table:
%C 0, -1, -1, 0, 1, 4, 9, 16, 25, ...
%C -1, 0, 1, 1, 3, 5, 7, 9, 11, ...
%C 1, 1, 0, 2, 2, 2, 2, 2, 2, ...
%C 0, -1, 2, 0, 0, 0, 0, 0, 0, ...
%H Paolo Xausa, <a href="/A305559/b305559.txt">Table of n, a(n) for n = 0..1000</a>
%t Join[{0,-1,-1},Range[0,100]^2] (* _Paolo Xausa_, Nov 13 2023 *)
%Y Cf. A003992, A033312, A060576, A176824, A289207, A000290, A113679.
%K sign
%O 0,6
%A _Paul Curtz_, Jun 21 2018