A219963 Numbers which do not reach zero under either of the iterations: x -> floor(sqrt(x)) * (x - floor(sqrt(x))^2) or y -> ceiling(sqrt(y)) * (ceiling(sqrt(y))^2 - y).

2897, 3159, 3183, 4004, 6335, 7025, 8163, 8237, 8621, 9234, 12204, 12963, 13381, 14340, 15217, 16191, 16438, 17474, 17763, 17972, 18065, 18990, 19677, 19848, 20345, 20803, 21426, 21539, 22022, 25834, 26872, 27175, 28052, 28929, 28996, 29295, 30511, 30991

Offset

1,1

Comments

Intersection of A219303 and A219960.

Like the parent sequences, this sequence has pairs of consecutive integers; The first of these pairs is 89971 and 89972.

It is possible, assuming the infinite-pairs conjectures are true for both parent sequences, that there may also be an infinite number of pairs here, but even then that is not guaranteed.

Links

Carl R. White, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A219303, A219960.

Sequence in context: A235580 A285756 A248109 * A340201 A235102 A252267

Adjacent sequences: A219960 A219961 A219962 * A219964 A219965 A219966

Keyword

nonn

Author

Carl R. White, Dec 02 2012

Status

approved