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A b s t r ac t. The problem of finding R-sequencings for abelian groups of even orders has been reduced to that of finding R *-sequencings for abelian groups of odd orders except in the case when the Sylow 2-subgroup is a non-cyclic non-elementary-abelian group of order 8. We partially address this exception, including all instances when the group has order 8t for t congruent to 1, 2, 3 or 4 (mod 7). As much is known about which odd-order abelian groups are R *-sequenceable, we havefatcat:74yembkxcvgdtiooqj22p2g3rm