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

1,1

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

Prog

(Scheme, with Antti Karttunen's IntSeq-library)
(define A277807 (MATCHING-POS 1 1 (lambda (n) (and (not (pow2? (+ 1 (A000265 n)))) (= 1 (A010052 (A277699 n)))))))

Crossrefs

Setwise difference of A277704 \ A023758.

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

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

Sequence in context: A044253 A044634 A160849 * A246874 A136079 A118359

Adjacent sequences: A277804 A277805 A277806 * A277808 A277809 A277810

Keyword

nonn,base

Author

Antti Karttunen, Nov 01 2016

Status

approved