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 A175408 a(n) + a(n - 1) is alternatively a cube or a square. 0
 1, 7, 2, 6, 3, 5, 4, 4, 5, 3, 1, 7, 2, 6, 3, 5, 4, 4, 5, 3, 1, 7, 2, 6, 3, 5, 4, 4, 5, 3, 1, 7, 2, 6, 3, 5, 4, 4, 5, 3, 1, 7, 2, 6, 3, 5, 4, 4, 5, 3, 1, 7, 2, 6, 3, 5, 4, 4, 5, 3, 1, 7, 2, 6, 3, 5, 4, 4, 5, 3, 1, 7, 2, 6, 3, 5, 4, 4, 5, 3, 1, 7, 2, 6, 3, 5, 4, 4, 5, 3, 1, 7, 2, 6, 3, 5, 4, 4, 5, 3, 1, 7, 2, 6, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(1)=1, then a(2n) = (the least cube > a(2n-1)) - a(2n-1), and a(2n+1) = (the least square > a(2n)) - a(2n). Period of length 10: {7,2,6,3,5,4,4,5,3,1}. LINKS Table of n, a(n) for n=1..105. Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,1). FORMULA a(1)=1, afterwards a(n)=A130532(n+7). MATHEMATICA LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 7, 2, 6, 3, 5, 4, 4, 5, 3}, 120] (* or *) PadRight[ {}, 120, {1, 7, 2, 6, 3, 5, 4, 4, 5, 3}] (* Harvey P. Dale, Jul 05 2022 *) CROSSREFS Cf. A130532. Sequence in context: A128475 A309647 A225444 * A019934 A295874 A182548 Adjacent sequences: A175405 A175406 A175407 * A175409 A175410 A175411 KEYWORD nonn AUTHOR Zak Seidov, May 03 2010 STATUS approved

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Last modified May 22 13:22 EDT 2024. Contains 372755 sequences. (Running on oeis4.)