a(n,m) tabl head (triangle) for  A127675
 
 Chebyshev U-polynomials U(2*n,x) coefficients, decreasing powers of 1-x^2.


   n\m     0         1         2        3         4          5         6          7        8      9        10

   0       1         0        0         0         0          0         0          0        0      0         0

   1      -4         3        0         0         0          0         0          0        0      0         0

   2      16       -20        5         0         0          0         0          0        0      0         0

   3      -64      112      -56         7         0          0         0          0        0      0         0

   4      256     -576      432      -120         9          0         0          0        0      0         0

   5    -1024     2816    -2816      1232      -220         11         0          0        0      0         0

   6     4096   -13312    16640     -9984      2912       -364        13          0        0      0         0

   7   -16384    61440   -92160     70400    -28800       6048      -560         15        0      0         0

   8    65536  -278528   487424   -452608    239360     -71808     11424       -816       17      0         0

   9  -262144  1245184 -2490368   2723840  -1770496     695552   -160512      20064    -1140     19         0

  10  1048576 -5505024 12386304 -15597568  12042240   -5870592   1793792    -329472    33264  -1540        21
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 The rows for n=11..15 are:

 n=11: [-4194304, 24117248, -60293120, 85917696, -76873728, 44843008, -17145856, \
4209920, -631488, 52624, -2024, 23], 

 n=12: [16777216, -104857600, 288358400, -458752000, 466944000, -317521920, \
146227200, -45260800, 9152000, -1144000, 80080, -2600, 25],

 n=13: [-67108864, 452984832, -1358954496, 2387607552, -2724986880, 2118057984, \
-1143078912, 428654592, -109983744, 18670080, -1976832, 117936, -3276, 27],
 
 n=14: [-67108864, 452984832, -1358954496, 2387607552, -2724986880, 2118057984, \
-1143078912, 428654592, -109983744, 18670080, -1976832, 117936, -3276, 27],

 n=15: [-1073741824, 8321499136, -29125246976, 60850962432, -84515225600, \
82239815680, -57567870976, 29297934336, -10827497472, 2870927360, -533172224, \
66646528, -5261568, 236096, -4960, 31].



Row sums give (signed) A033999(n)=(-1)^n and 

(unsigned) A002315(n)=[1, 7, 41, 239, 1393, 8119, 47321, 275807, 1607521,...].


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