A159274 a(0)=209; for n > 0, a(n) = a(n-1) + floor(sqrt(a(n-1))).

209, 223, 237, 252, 267, 283, 299, 316, 333, 351, 369, 388, 407, 427, 447, 468, 489, 511, 533, 556, 579, 603, 627, 652, 677, 703, 729, 756, 783, 810, 838, 866, 895, 924, 954, 984, 1015, 1046, 1078, 1110, 1143, 1176, 1210, 1244, 1279, 1314, 1350, 1386

Offset

0,1

Comments

Row 13 in square array A159016. This sequence contains infinitely many squares.

The squares in the sequence are (A175806(k))^2, k = 0,1,2,... [Vincenzo Librandi, Dec 05 2010]

Links

Table of n, a(n) for n=0..47.

Mathematica

NestList[#+Floor[Sqrt[#]]&, 209, 50] (* Harvey P. Dale, Jun 12 2017 *)

Prog

(Magma) [n eq 1 select 209 else Self(n-1)+Floor(Sqrt (Self(n-1))):n in [1..30]]; // Marius A. Burtea, Jan 07 2020

Crossrefs

Cf. A159016, A175806.

Sequence in context: A303688 A080532 A153442 * A330206 A025334 A025326

Adjacent sequences: A159271 A159272 A159273 * A159275 A159276 A159277

Keyword

nonn

Author

Philippe Deléham, Apr 07 2009

Status

approved