A234587 Odd-indexed terms of A234586.

1, 1, 3, 1, 3, 5, 7, 5, 7, 5, 7, 5, 7, 9, 11, 9, 11, 13, 15, 13, 15, 17, 19, 17, 19, 17, 19, 17, 19, 21, 23, 21, 23, 21, 23, 21, 23, 25, 27, 25, 27, 25, 27, 25, 27, 29, 31, 29, 31, 33, 35, 33, 35, 37, 39, 37, 39, 37, 39, 37, 39, 41, 43, 41, 43, 45, 47, 45, 47, 49, 51, 49, 51, 49, 51, 49, 51, 53, 55, 53, 55, 57

Offset

1,3

Comments

a(n) = abs(A234586(n+1) - A234586(n)) = A234586(2*n-1). - Reinhard Zumkeller, Jul 15 2014

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Formula

There is a surprising connection with the Thue-Morse sequence A010060. If the k-th run of equal terms in A010060 (k>=0) has length L (L=1 or 2, see A026465), replace it with 2L copies of the pair 4k+1, 4k+3. This produces the current sequence apart from the initial 1: 0 1 1 0 1 0 0 1 ... becomes 1 3 1 3 5 7 5 7 5 7 5 7 9 11 9 11 13 ... - N. J. A. Sloane, Dec 31 2013

Prog

(Haskell)
a234587 n = a234587_list !! (n-1)
-- where a234587_list is defined in A234586.
-- Reinhard Zumkeller, Jul 15 2014

Crossrefs

Cf. A234586, A010060, A026465.

Sequence in context: A323554 A323556 A338329 * A339413 A114144 A050820

Adjacent sequences: A234584 A234585 A234586 * A234588 A234589 A234590

Keyword

nonn

Author

Eric Angelini, Dec 31 2013

Status

approved