Thomas’ Lesser Way

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A fancy way to obtain the binary digits of 759250125 √ 2 Thomas Stoll

R. L. Graham and H. O. Pollak observed that the sequence u1 = 1, un+1 = ⌊ √ 2 (un + 1/2)⌋, n ≥ 1, has the curious property that the sequence of numbers (u2n+1−2u2n−1)n≥1 denotes the binary digits of √ 2. We present an extension of Graham–Pollak’s sequence which allows to get – in a fancy way – the binary digits of 759250125 √ 2 and other numbers.

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ژورنال

عنوان ژورنال: Ars Disputandi

سال: 2006

ISSN: 1566-5399

DOI: 10.1080/15665399.2006.10819899