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A019477
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Define the sequence S(a_0,a_1) by a_{n+2} is the least integer such that a_{n+2}/a_{n+1}>a_{n+1}/a_n for n >= 0. This is S(3,15) (agrees with A019478 only for n <= 23).
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1
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3, 15, 76, 386, 1961, 9963, 50618, 257170, 1306579, 6638211, 33726124, 171349094, 870556961, 4422955527, 22471287314, 114167721214, 580041026803, 2946958993287, 14972332829596, 76068500060858
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