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%I #14 May 29 2019 12:04:23
%S 1,1,0,1,1,0,1,2,4,0,1,3,20,38,0,1,4,54,624,728,0,1,5,112,3834,55248,
%T 26704,0,1,6,200,15104,1027080,13982208,1866256,0,1,7,324,45750,
%U 9684224,1067308488,10358360640,251548592,0,1,8,490,116208,60225000,30458183680,4390480193904,22792648882176,66296291072,0
%N Square array A(n,k), n >= 1, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. log(Sum_{j>=0} k^binomial(j,2) * x^j/j!).
%H Seiichi Manyama, <a href="/A308460/b308460.txt">Antidiagonals n = 1..50, flattened</a>
%e Square array begins:
%e 1, 1, 1, 1, 1, ...
%e 0, 1, 2, 3, 4, ...
%e 0, 4, 20, 54, 112, ...
%e 0, 38, 624, 3834, 15104, ...
%e 0, 728, 55248, 1027080, 9684224, ...
%e 0, 26704, 13982208, 1067308488, 30458183680, ...
%Y Columns k=1..4 give A000007(n-1), A001187, A054941, A003027.
%K nonn,tabl
%O 1,8
%A _Seiichi Manyama_, May 28 2019
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