A087058 - OEIS

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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

(list; graph; refs; listen; history; text; internal format)

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