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A117080
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a(n) = 2a(n-1)+a(n-3)+1 with a(1)=1, a(2)=3, a(3)=8.
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0
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1, 3, 8, 18, 40, 89, 197, 435, 960, 2118, 4672, 10305, 22729, 50131, 110568, 243866, 537864, 1186297, 2616461, 5770787, 12727872, 28072206, 61915200, 136558273, 301188753, 664292707, 1465143688, 3231476130, 7127244968, 15719633625, 34670743381, 76468731731
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