A295026 a(n) = floor(Pi*(n + sqrt(2))^2).

0, 6, 18, 36, 61, 92, 129, 172, 222, 278, 340, 409, 484, 565, 652, 746, 846, 952, 1065, 1184, 1309, 1440, 1578, 1722, 1872, 2029, 2191, 2361, 2536, 2718, 2906, 3100, 3300, 3507, 3720, 3940, 4165, 4397, 4635, 4880, 5131, 5388, 5651, 5921, 6197, 6479, 6767, 7062

Offset

-1,2

Comments

a(n) > A000328(n+1) for every n >= 0.

Links

G. C. Greubel, Table of n, a(n) for n = -1..5000

Maple

seq(floor(Pi*(n+sqrt(2))^2), n=-1..46); # Muniru A Asiru, Oct 11 2018

Mathematica

f[n_] := Floor[Pi (n + Sqrt@2)^2]; Array[f, 47, -1] (* Robert G. Wilson v, Dec 12 2017 *)

Prog

(PARI) a(n)=floor(Pi*(n+sqrt(2))^2)
(Magma) R:=RealField(10); [Floor(Pi(R)*(n+Sqrt(2))^2): n in [-1..50]]; // G. C. Greubel, Oct 10 2018

Crossrefs

Cf. A000328.

Sequence in context: A152539 A069958 A028896 * A034857 A116367 A225384

Adjacent sequences: A295023 A295024 A295025 * A295027 A295028 A295029

Keyword

nonn,easy

Author

Arkadiusz Wesolowski, Nov 12 2017

Status

approved