A238737 a(n) = 2*n+2 - A224911(n).

0, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 3, 5, 1, 1, 3, 5, 1, 3, 1, 1, 3, 1, 3, 5, 1, 3, 5, 1, 1, 3, 5, 1, 3, 1, 1, 3, 5, 1, 3, 1, 3, 5, 1, 3, 5, 7, 1, 3, 1, 1, 3, 1, 1, 3, 1, 3, 5, 7, 9, 11, 13, 1, 3, 1, 3, 5, 1, 1, 3, 5, 7, 9

Offset

0,5

Comments

It appears that a(n+2) is successively either one 1 or a string of the odd numbers.

Conjecture: the rank of 1's is A005097(n+1). This is another link between Bernoulli numbers and primes via A190339(n).

Apparently (essentially) a duplicate of A049653. - R. J. Mathar, Mar 30 2014

Links

Table of n, a(n) for n=0..73.

Example

a(0)=2-2=0, a(1)=4-3=1, a(2)=6-5=1, a(3)=8-7=1, a(4)=10-7=3.

Crossrefs

Cf. A060308, A005408.

Sequence in context: A228925 A230405 A101685 * A049653 A281680 A060266

Adjacent sequences: A238734 A238735 A238736 * A238738 A238739 A238740

Keyword

nonn

Author

Paul Curtz, Mar 04 2014

Status

approved