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A099879
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Decimal expansion of a nested radical: sqrt(1^2 + sqrt(2^2 + sqrt(3^2 + ...
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9
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1, 9, 4, 2, 6, 5, 5, 4, 2, 2, 7, 6, 3, 9, 8, 7, 3, 2, 8, 2, 2, 1, 4, 1, 3, 2, 9, 1, 4, 1, 2, 6, 6, 7, 2, 3, 7, 6, 8, 8, 0, 7, 3, 6, 3, 0, 0, 0, 7, 1, 1, 5, 5, 1, 5, 1, 0, 0, 5, 6, 9, 5, 6, 1, 7, 7, 7, 6, 3, 2, 2, 3, 0, 8, 8, 9, 3, 4, 3, 4, 6, 5, 9, 7, 1, 5, 3, 2, 0, 8, 0, 6, 7, 5, 0, 1, 6, 8, 5, 3, 9, 8, 0
(list;
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refs;
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history;
text;
internal format)
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OFFSET
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1,2
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LINKS
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Herman P. Robinson, The CSR Function, Popular Computing (Calabasas, CA), Vol. 4 (No. 35, Feb 1976), pages PC35-3 to PC35-4. Annotated and scanned copy.
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EXAMPLE
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1.94265542276398732822141329141266723768807363...
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MATHEMATICA
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k = 64; r = 65; While[k > 0, r = Sqrt[k^2 + r]; k-- ]; RealDigits[r, 10, 111][[1]] (* Robert G. Wilson v, Nov 04 2004 *)
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PROG
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(PARI) t=0:forstep(n=100, 1, -1, t=sqrt(t+n^2)):print(t)
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CROSSREFS
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KEYWORD
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 03 2004
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STATUS
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approved
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