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COMMENTS
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Starting with a top row of Bernoulli numbers, the Akiyama-Tanigawa transform generates further rows as follows:
1, -1/2, 1/6, 0, -1/30, 0, 1/42, 0, -1/30, 0, 5/66,...
3/2, -4/3, 1/2, 2/15, -1/6, -1/7, 1/6, 4/15, -3/10, -25/33,..
17/6, -11/3, 11/10, 6/5, -5/42, -13/7, -7/10, 68/15, 453/110,...
13/2, -143/15, -3/10, 554/105, 365/42, -243/35, -1099/30, 548/165,...
481/30, -277/15, -1171/70, -478/35, 469/6, 1247/7, -6153/22,..
69/2, -73/21, -129/14, -38566/105, -20995/42, 211515/77,...
The numerators of the leftmost column define the current sequence.
The denominators appear to be the same as A141056.
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