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

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

Offset

1,1

Comments

The EKG sequence A064413 has 3 critical lines.

Points which belong to the critical lines:

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

(3/2) 2*A064413(n)=3n see A152519,

(1/2) 2*A064413(n)=n 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 crtitical lines of EKG sequence is finite (and complete?). [Artur Jasinski, Dec 08 2008]

Links

Table of n, a(n) for n=1..8.

Crossrefs

Cf. A064413, A152458.

Sequence in context: A274221 A327479 A139056 * A240507 A022802 A301166

Adjacent sequences: A152516 A152517 A152518 * A152520 A152521 A152522

Keyword

nonn

Author

Artur Jasinski, Dec 06 2008, Dec 08 2008

Status

approved