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EXAMPLE
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Table of similar sequences (not extendable on the left side) where this recurrence can be applied to the first two terms:
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(*) - - 1, -1, 2, -1, 5, 2, 17, 23, 74, 143, 365, ...
A052533: - - 1, 0, 3, 3, 12, 21, 57, 120, 291, 651, 1524, ...
(°) - 0, 1, 1, 4, 7, 19, 40, 97, 217, 508, 1159, 2683, ...
A006138: - - 1, 2, 5, 11, 26, 59, 137, 314, 725, 1667, 3842, ...
A105476: - - 1, 3, 6, 15, 33, 78, 177, 411, 942, 2175, 5001, ...
(°) 0, 1, 1, 4, 7, 19, 40, 97, 217, 508, 1159, 2683, 6160, ...
A105963: - - 1, 5, 8, 23, 47, 116, 257, 605, 1376, 3191, 7319, ...
A274977: - - 1, 6, 9, 27, 54, 135, 297, 702, 1593, 3699, 8478, ...
A075118: - 2, 1, 7, 10, 31, 61, 154, 337, 799, 1810, 4207, 9637, ...
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(*) see version A140165.
(°) see A006130 and the signed versions A140167, A182228.
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