A219186 Positive integers n such that 1+(k-2)*U_m(k,1)^2 does not divide n-k for any 3<=k=1, where U(k,1) is a Lucas sequence.

1, 2, 3, 4, 6, 8, 14, 18, 20, 24, 32, 38, 42, 44, 54, 60, 62, 68, 72, 74, 80, 90, 98, 104, 108, 110, 114, 132, 140, 150, 152, 158, 164, 168, 180, 182, 194, 198, 200, 212, 234, 240, 242, 258, 270, 272, 278, 284, 294, 308, 312, 332, 338, 348, 350, 360, 368, 374, 380, 384, 398, 402, 410, 420, 422, 432, 434, 440, 450, 458, 464

Offset: 1

Author

Max Alekseyev, Nov 14 2012

Keywords

• nonn

Comments

Related to solubility of generalized Markov equation x_1^2 + x_2^2 + ... + x_n^2 = k*x_1*x_2*...*x_n.

The sequence is infinite as proved by Baoulina and Luca.

Links

• I. Baoulina and F. Luca, On positive integers with a certain nondivisibility property, Annales Mathematicae et Informaticae 35 (2008), pp. 11-19.

Crossrefs

Cf. A164014