A152519 Numbers k such that 2*A064413(k) = 3*k.

4, 6, 12, 16, 34, 38, 58, 62

Offset: 1

Author

Artur Jasinski, Dec 06 2008

Keywords

• nonn
• more

Comments

The EKG sequence A064413 has 3 critical lines.

Points which belong to the critical lines:

(1) A064413(k) = k see A152458,

(3/2) 2*A064413(k) = 3*k see this sequence,

(1/2) 2*A064413(k) = k contains only 2 numbers: {10, 14}.

Only 12 and 16 in this sequence are not of the form 2*prime.

Because points are concentrated on the plot of EKG sequence near these 3 critical lines, the number of points belonging to critical lines is surprisingly low.

Conjecture: Number of points on 3 critical lines of EKG sequence is finite (and complete?). - Artur Jasinski, Dec 08 2008

a(9) > 10^5, if it exists. - Amiram Eldar, Oct 23 2024

Crossrefs

Cf. A064413, A152458.