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A020963
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Sum of Floor[ 2*(1+sqrt(2))^(n-k) ] for k from 1 to infinity.
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0
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2, 6, 17, 45, 112, 276, 671, 1627, 3934, 9506, 22957, 55433, 133836, 323120, 780091, 1883319, 4546746, 10976830, 26500425, 63977701, 154455848, 372889420, 900234711, 2173358867, 5246952470, 12667263834
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