Sloane's A052154 gives the coefficients of the Lemniscates, a series of polynomials in one complex variable which converge on the boundary of the Mandelbrot set.

The sequence is given by "antidiagonals", a series of diagonals beginning at the top-left of the table, read from bottom-left to top-right. The order is illustrated by the order of the letters in this diagram:

A C F J
B E I ...
D H M
G L
K

The lemniscates are:

1
C
C + C²
C + C² + 2 C³ + C⁴
C + C² + 2 C³ + 5 C⁴ + 6 C⁵ + 6 C⁶ + 4 C⁷ + C⁸

And the coefficients are arranged from lowest to highest, so the table of coefficients looks like this:

1 0 0 0 0 0 0 0 0 ...
1 1 0 0 0 0 0 0 0 ...
1 1 2 1 0 0 0 0 0 ...
1 1 2 5 6 6 4 1 0 ...
.....

Therefore the sequence, read by antidiagonals, is: 1, 1,0, 1,1,0, 1,1,0,0, 1,1,2,0,0, 1,1,2,1,0,0, ...

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