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A295026
a(n) = floor(Pi*(n + sqrt(2))^2).
1
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
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: A069958 A028896 A383405 * A034857 A372847 A116367
KEYWORD
nonn,easy
AUTHOR
STATUS
approved