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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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REFERENCES
| C. Kimberling, Problem 10520 in Amer. Math. Mon. 103 (1996) p. 347.
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MATHEMATICA
| Table[t=0; k=0; While[k++; s=Floor[2*(1+Sqrt[2])^(n-k)]; s>0, t=t+s]; t, {n, 26}]
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CROSSREFS
| Sequence in context: A018024 A190159 A000996 * A065068 A109961 A190050
Adjacent sequences: A020960 A020961 A020962 * A020964 A020965 A020966
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
| Revised Feb 03 1999. Revised Nov 30 2010.
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