A087058 Smallest square number greater than 2*n^2.

4, 9, 25, 36, 64, 81, 100, 144, 169, 225, 256, 289, 361, 400, 484, 529, 625, 676, 729, 841, 900, 1024, 1089, 1156, 1296, 1369, 1521, 1600, 1764, 1849, 1936, 2116, 2209, 2401, 2500, 2601, 2809, 2916, 3136, 3249, 3364, 3600, 3721, 3969, 4096, 4356, 4489

Offset

1,1

Links

Table of n, a(n) for n=1..47.

Formula

A087058(n) = A087057(n)^2 = (1 + A001951(n))^2 = (1 + floor[n*sqrt(2)])^2

Example

A087058(10) = 225 because 225 is the smallest square number greater than 2*10^2 = 200.

Mathematica

Table[Ceiling[Sqrt[2n^2]]^2, {n, 50}] (* Harvey P. Dale, Jan 22 2015 *)

Crossrefs

Cf. A001951, A087055, A087056, A087057, A087059, A087060.

Sequence in context: A062503 A248648 A063577 * A046659 A063760 A238334

Adjacent sequences: A087055 A087056 A087057 * A087059 A087060 A087061

Keyword

easy,nonn

Author

Jens Voß, Aug 07 2003

Status

approved