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A079719
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a(n) = n + floor[sum_k{k<n}a(k)/2] with a(0)=0.
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2
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0, 1, 2, 4, 7, 12, 19, 29, 45, 68, 103, 156, 235, 353, 531, 797, 1197, 1796, 2695, 4044, 6067, 9101, 13653, 20480, 30721, 46083, 69125, 103689, 155534, 233302, 349954, 524932, 787399, 1181100, 1771651, 2657477, 3986217, 5979326, 8968990, 13453486
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n)=A073941(n+4)-2 (and appears to be A005428(n+1)) =round[1.82505431574536323...*1.5^n - 2]
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EXAMPLE
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a(4) = 4+floor[(0+1+2+4)/2] = 4+floor[7/2] = 4+3 = 7
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MATHEMATICA
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nxt[{n_, t_, a_}]:=Module[{c=n+1+Floor[t/2]}, {n+1, t+c, c}]; NestList[nxt, {0, 0, 0}, 40][[All, 3]] (* Harvey P. Dale, Aug 01 2021 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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