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 A084185 First occurrence of binary n in the binary expansion of sqrt(2). 3
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS a(n)=1 iff n in A084188. a(2^(n+1)+1) = A084187(n)-1. LINKS EXAMPLE The binary expansion of sqrt(2) is 1.0110101000001..(A004539) and binary(10)=1010 occurs first at index 4, so a(10)=4. MATHEMATICA 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 *) CROSSREFS Cf. A084186. Sequence in context: A140272 A210962 A021728 * A073227 A016550 A086245 Adjacent sequences:  A084182 A084183 A084184 * A084186 A084187 A084188 KEYWORD nonn AUTHOR Ralf Stephan, May 18 2003 STATUS approved

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