A277807 Numbers n such that A048720(n, A065621(n)) is a perfect square, but n is not in A023758.

83, 166, 332, 365, 664, 730, 1328, 1460, 2656, 2920, 5312, 5840, 10624, 11680, 21248, 23360, 33051, 42496, 46720, 66102, 84992, 93440, 115785, 132204, 169984, 186880, 231570, 264408, 279099, 339968, 373760, 388731, 463140, 528816, 558198, 679936, 747520, 777462, 926280, 1057632, 1116396, 1359872, 1495040, 1554924, 1677591

Offset: 1

Author

Antti Karttunen, Nov 01 2016

Keywords

• nonn
• base

Comments

Not yet proved: Equally, numbers n such that A048720(n, A065621(n)) = k^2 for some k different from n.

If n is included in this sequence, then also 2n is included (and vice versa), thus the sequence is infinite and wholly determined by its odd terms.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..57
• Index entries for sequences related to binary expansion of n

Crossrefs

Setwise difference of A277704 \ A023758.

Cf. A000265, A010052, A048720, A065621, A277699.

Cf. A277806 (the square roots of the solutions).