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A020962
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Sum of Floor[ (1+sqrt(2))^(n-k) ] for k from 1 to infinity.
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0
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1, 3, 8, 22, 55, 137, 334, 812, 1965, 4751, 11476, 27714, 66915, 161557, 390042, 941656, 2273369, 5488411, 13250208, 31988846, 77227919, 186444705, 450117350, 1086679428, 2623476229, 6333631911, 15290740076
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| C. Kimberling, Problem 10520 in Amer. Math. Mon. 103 (1996) p. 347.
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FORMULA
| a(n) = sum_{i=0..n-1} A080039(i)
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MATHEMATICA
| Table[Sum[Floor[(1 + Sqrt[2])^(n - k)], {k, Infinity}], {n, 1, 27}] (* From Alonso del Arte, Nov 30 2010 *)
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CROSSREFS
| Sequence in context: A027235 A086596 A036882 * A027243 A110239 A001853
Adjacent sequences: A020959 A020960 A020961 * A020963 A020964 A020965
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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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