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 A294448 Discrepancy of the Kolakoski sequence A000002. 4
 -1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 2, 1, 0, 1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, -1, 0, -1, -2, -1, -2, -1, 0, -1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, -1, -2, -1, 0, -1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 2, 1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, 0, -1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,12 COMMENTS The discrepancy is defined by a(n) = Sum_{i=1..n} (-1)^k(i), where k(i) = A000002(i). The negative of this sequence is already in the OEIS (A088568), but does not seem to be found if one looks up -1, 0, 1, 0, -1, 0, -1, 0, 1, 0, 1, ..., so this version has been added for completeness. See A088568 for more information and references. LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 Richard P. Brent, Fast algorithms for the Kolakoski sequence, Slides from a talk, 2016. CROSSREFS Cf. A000002, A088568. For records see A294449. Sequence in context: A080732 A301295 A215036 * A088568 A317161 A307198 Adjacent sequences: A294445 A294446 A294447 * A294449 A294450 A294451 KEYWORD sign,look AUTHOR N. J. A. Sloane, Nov 21 2017 STATUS approved

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Last modified March 22 12:59 EDT 2023. Contains 361430 sequences. (Running on oeis4.)