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Search: id:A096935
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| A096935 |
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Smallest number k such that in its decimal representation the first n digits of pi=3.14... are contained in 11^k. |
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+0
1
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OFFSET
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1,1
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EXAMPLE
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n=3, '314': 11^18 = 5559917313492231481, therefore a(3)=18: floor(11^a(3) / 100) mod 1000 = 314.
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MATHEMATICA
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f[0] = 1; f[n_] := f[n] = Block[{pi = StringTake[ ToString[ RealDigits[Pi, 10, n][[1]]], {2, -2}], k = f[n - 1]}, While[ StringPosition[ ToString[ IntegerDigits[11^k]], pi] == {}, k++ ]; k]; (from Robert G. Wilson v)
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CROSSREFS
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Cf. A001020, A000796.
Sequence in context: A014783 A095106 A130184 this_sequence A136475 A143180 A074249
Adjacent sequences: A096932 A096933 A096934 this_sequence A096936 A096937 A096938
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KEYWORD
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nonn,base
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 18 2004
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EXTENSIONS
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a(9) & a(10) from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 19 2004 with a(11)>40000.
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