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COMMENTS
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Binomial transform of (3, 0, -1, followed by A005563).
The sequence and its successive differences are:
3, 3, 2, 0, 0, 16, 96, 384, a(n),
0, -1, -2, 0, 16, 80, 288, 896, A178987,
-1, -1, 2, 16, 64, 208, 608, 2688, -A127276,
0, 3, 14, 48, 144, 400, 1056, 2688, A176027,
3, 11, 34, 96, 256, 656, 1632, 3968, A084266(n+1)
8, 23, 62, 160, 400, 976, 2336, 5504,
15, 39, 98, 240, 576, 1360, 3168, 7296.
Division of the k-th column by abs(A174882(k)) gives
3, 3, 1, 0, 0, 1, 3, 3, 5, 15, 21, 14, A064038(n-3),
0, -1, -1, 0, 1, 5, 9, 7, 10, 27, 35, 22, A160050(n-3),
-1, -1, 1, 2, 4, 13, 19, 13, 17, 43, 53, 32, A176126,
0, 3, 7, 6, 9, 25, 33, 21, 26, 63, 75, 44, A178242,
3, 11, 17, 12, 16, 41, 51, 31, 37, 87, 101, 58,
8 23, 31, 20, 25, 61, 73, 43, 50, 115, 131, 74,
15, 39, 49, 30, 36, 85, 99, 57, 65, 147, 165, 92.
Columns are (or from) A005563, A142463, A056220, A002378, A000290, A001844, A058331, A002061, A002522, A097080, A093328, A014206.
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