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

Author

Carl R. White, Dec 02 2012

Keywords

• nonn

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.