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A084185
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First occurrence of binary n in the binary expansion of sqrt(2).
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3
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1, 1, 3, 8, 1, 3, 17, 8, 14, 4, 1, 19, 3, 18, 17, 8, 62, 51, 14, 6, 4, 1, 42, 80, 19, 3, 41, 18, 40, 17, 31, 8, 57, 62, 128, 51, 69, 20, 14, 6, 104, 4, 111, 66, 1, 96, 42, 146, 80, 50, 19, 118, 3, 77, 41, 126, 18, 98, 40, 17, 75, 33, 31, 453, 8, 57
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OFFSET
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1,3
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COMMENTS
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a(n)=1 iff n in A084188. a(2^(n+1)+1) = A084187(n)-1.
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LINKS
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Table of n, a(n) for n=1..66.
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EXAMPLE
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The binary expansion of sqrt(2) is 1.0110101000001..(A004539) and binary(10)=1010 occurs first at index 4, so a(10)=4.
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MATHEMATICA
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With[{s2=RealDigits[Sqrt[2], 2, 1000][[1]], n2=IntegerDigits[n, 2]}, Flatten[ Table[First[ Position[Partition[s2, Length[n2], 1], n2]], {n, 70}]]] (* Harvey P. Dale, Oct 11 2012 *)
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CROSSREFS
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Cf. A084186.
Sequence in context: A140272 A210962 A021728 * A073227 A016550 A086245
Adjacent sequences: A084182 A084183 A084184 * A084186 A084187 A084188
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KEYWORD
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nonn
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AUTHOR
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Ralf Stephan, May 18 2003
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STATUS
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approved
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