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A073347
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a(1)=1; a(n+1) is the smallest integer > a(n) such that Sum_{k=a(n)..a(n+1)} 1/sqrt(k) > Pi.
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1
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1, 5, 14, 28, 46, 69, 97, 130, 168, 211, 259, 311, 368, 430, 497, 569, 646, 728, 815, 907, 1004, 1105, 1211, 1322, 1438, 1559, 1685, 1816, 1952, 2093, 2239, 2390, 2546, 2706, 2871, 3041, 3216, 3396, 3581, 3771, 3966, 4166, 4371, 4581, 4796, 5016, 5240, 5469
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) is asymptotic to Pi^2*n^2/4.
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MATHEMATICA
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a[1] = 1; a[n_] := a[n] = Module[{k = a[n - 1], s = 0}, While[(s += 1/Sqrt[k]) < Pi, k++]; k]; Array[a, 50] (* Amiram Eldar, May 19 2022 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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