A171942 Forward van Eck transform of A000120.

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

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