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Search: id:A082605
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| A082605 |
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Using Euler's 6-term sequence, we define the partial recurrence relation a(0)=2, a(1)=3, a(2)=5; a(k) = 2*a(k-1) - 1 + (-1)^(k-1)*2^(k-2), 3 <= k <= 5. Using this definition of a(k) we (formally) work backwards towards a(2)=5 to arrive at the formula for a(k) below. |
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6
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| 2, 3, 5, 11, 17, 41, 65, 161, 257, 641, 1025, 2561, 4097, 10241, 16385, 40961, 65537, 163841, 262145, 655361, 1048577, 2621441, 4194305, 10485761, 16777217, 41943041, 67108865, 167772161, 268435457, 671088641, 1073741825, 2684354561
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