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 A171942 Forward van Eck transform of A000120. 3
 0, 1, 2, 2, 4, 1, 3, 4, 8, 1, 2, 2, 5, 1, 5, 8, 16, 1, 2, 2, 4, 1, 3, 4, 9, 1, 2, 2, 7, 1, 9, 16, 32, 1, 2, 2, 4, 1, 3, 4, 8, 1, 2, 2, 5, 1, 5, 8, 17, 1, 2, 2, 4, 1, 3, 4, 11, 1, 2, 2, 11, 1, 17, 32, 64, 1, 2, 2, 4, 1, 3, 4, 8, 1, 2, 2, 5, 1, 5, 8, 16, 1, 2, 2, 4, 1, 3, 4, 9, 1, 2, 2, 7, 1, 9, 16, 33, 1, 2, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Assumes that the offset of A000120 has been changed to 1. Comment from Marc LeBrun, Jan 01 2014: A057168(n) - n (the difference between n and the next number with the same binary weight) matches A171942, "Forward van Eck transform of A000120" (the weight of n). Response from M. F. Hasler, Jan 01 2014: The "forward van Eck transform" is the sequence of gaps to the next term with equal value: FVE(a) = n -> min { m>0 | a(n+m)=a(n) } with the (exceptional) convention that : min {} = 0. (See A171898.) So your observation is exactly the definition. LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 N. J. A. Sloane, Transforms PROG (Haskell) a171942 1 = 0 a171942 n = head [m | m <- [1..], a000120 (m + n - 1) == a000120 (n - 1)] -- Reinhard Zumkeller, Jan 01 2014 CROSSREFS Cf. A000120, A057168, A171898. Sequence in context: A175001 A205843 A171727 * A264799 A248503 A359855 Adjacent sequences: A171939 A171940 A171941 * A171943 A171944 A171945 KEYWORD nonn AUTHOR N. J. A. Sloane, Oct 25 2010 STATUS approved

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Last modified September 23 19:57 EDT 2023. Contains 365554 sequences. (Running on oeis4.)