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Search: id:A099972
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A099972 Write 1/sqrt(2) as a binary fraction; read this from left to right, and whenever a 1 appears, note the integer formed by reading leftwards from that 1. +0
5
1, 5, 13, 45, 173, 8365, 73901, 204973, 467117, 991405, 5185709, 13574317, 80683181, 214900909, 1288642733, 3436126381, 7731093677, 16321028269, 33500897453, 67860635821, 136580112557, 686335926445, 1785847554221 (list; graph; listen)
OFFSET

0,2

EXAMPLE

1/sqrt(2) = 0.7071067811865475244008443621048490392848359376885... = 0.10110101000001001111001100110011111110011101111001100100100001000101100101111101100010011011 in binary.

MATHEMATICA

d = 100; l = First[RealDigits[N[1/Sqrt[2], d], 2]]; Do[m = Take[l, n]; k = Length[m]; If[m[[k]] == 1, Print[FromDigits[Reverse[m], 2]]], {n, 1, d}] (Propper)

CROSSREFS

Sequence in context: A113835 A006349 A052899 this_sequence A060050 A120790 A025545

Adjacent sequences: A099969 A099970 A099971 this_sequence A099973 A099974 A099975

KEYWORD

nonn,easy

AUTHOR

njas, Nov 13, 2004, based on correspondence from Artur Jasinski (grafix(AT)csl.pl), Mar 25 2003

EXTENSIONS

More terms from Ryan Propper (rpropper(AT)stanford.edu), Aug 18 2005

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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