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A289836 Numbers k such that floor(e*k + Pi) is a square. 1

%I

%S 5,17,29,36,52,71,132,146,177,211,229,330,648,744,956,1112,1368,1413,

%T 1459,1506,1700,1906,2124,2295,2657,2720,2848,2913,2979,3181,3319,

%U 3532,3678,3902,3978,4055,4211,4290,4780,5035

%N Numbers k such that floor(e*k + Pi) is a square.

%H Charles R Greathouse IV, <a href="/A289836/b289836.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Range@ 5040, IntegerQ@ Sqrt@ Floor[# E + Pi] &] (* _Michael De Vlieger_, Jul 14 2017 *)

%o (PARI) is(n)=issquare(floor(exp(1)*n+Pi)) \\ _Charles R Greathouse IV_, Jul 14 2017

%o (Python)

%o from gmpy2 import is_square

%o from mpmath import *

%o mp.dps=100

%o def ok(n): return is_square(int(nint(floor(exp(1)*n + pi))))

%o print [n for n in xrange(1, 6001) if ok(n)] # _Indranil Ghosh_, Jul 15 2017

%K nonn

%O 1,1

%A _Joseph Wheat_, Jul 13 2017

%E More terms from _Charles R Greathouse IV_, Jul 14 2017

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Last modified May 21 00:57 EDT 2019. Contains 323429 sequences. (Running on oeis4.)