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 A166006 Distance from the origin using the binary expansion of Pi to walk the number line: Start at the origin; subtract one for each '0' digit, and add one for each '1' digit. 6
 1, 2, 1, 0, 1, 0, -1, 0, -1, -2, -3, -4, -3, -2, -1, 0, 1, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 2, 1, 0, 1, 0, -1, -2, -1, -2, -3, -4, -5, -4, -5, -4, -3, -4, -3, -4, -5, -6, -5, -4, -5, -6, -7, -8, -7, -8, -9, -10, -9, -8, -9, -8, -9, -10, -9, -8, -9, -10, -11, -10, -11, -12, -11, -10, -11 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Of the first 10^10 terms, 5738590822 are positive and 4261262135 are negative. Hans Havermann, Nov 27 2016 LINKS Hans Havermann, Table of n, a(n) for n = 1..10000 Hans Havermann, A walk in base-two pi FORMULA a(n) = Sum_{k=1..n} (2*b(k) - 1), where b(n) is the n-th binary digit of Pi. EXAMPLE The first five digits of the expansion are 1, 1, 0, 0, 1. Starting at 0, we get 0 + 1 + 1 - 1 - 1 + 1 = 1, so a(5) = 1. CROSSREFS Cf. A004601, A039624 (indices of zero), A278737 (record maxima), A278738 (record minima). Sequence in context: A317742 A118777 A073068 * A208769 A255327 A255391 Adjacent sequences:  A166003 A166004 A166005 * A166007 A166008 A166009 KEYWORD base,sign AUTHOR Steven Lubars (lubars(AT)gmail.com), Oct 03 2009 STATUS approved

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Last modified October 19 08:08 EDT 2018. Contains 316337 sequences. (Running on oeis4.)