login
A277807
Numbers n such that A048720(n, A065621(n)) is a perfect square, but n is not in A023758.
3
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.
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. A277806 (the square roots of the solutions).
Sequence in context: A044253 A044634 A160849 * A246874 A136079 A118359
KEYWORD
nonn,base
AUTHOR
Antti Karttunen, Nov 01 2016
STATUS
approved