A new series has been attracting a lot of attention on Tuesday nights — bringing in a big initial audience and more than doubling that audience in the key 18-49 demo in time-shifted L+3 viewing.

The series is the FX docudrama “The People v. O.J. Simpson,” which ranked as the No. 1-rated show on all of television on Tuesday night in adults 18-49 and adults 18-34 in each of its first two weeks, according to a release circulated by FX. The network cites Nielsen data.

The network says in its announcement that the huge lift for the first two episodes in L+3 “illustrates the increasing irrelevance and incomplete picture of Live+Same Day ratings compared to the ultimate viewership of an FX original series and most scripted entertainment programs.”

The show’s second episode, which premiered Feb. 9, delivered 3.9 million viewers in the 18-49 demo in L+3, a 104% jump from L+SD delivery. In 18-34 the episode delivered 1.87 million viewers in L+3, a 96% lift. The increase in total viewers from L+SD to L+3 was 91%, with the number climbing to 7.4 million.

The show also has had what the network says is the best week two retention of any recent FX drama or limited series.

“In Live+3, the second episode of the new FX limited series gained audience over the premiere in all three men demographics: Men 25-54 (2.03 million, +4%), Men 18-49 (1.92 million, +3%) and Men 18-34 (920,000, +13%),” FX announced. “The significant time-shifted viewing resulted in excellent week-to-week audience retention, holding 94% of Adults 18-49 and 89% of Total Viewers. The minimal week-to-week declines in those categories should narrow further — even possibly flip to the plus column — when all viewing is registered approximately 60 days from now.”