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

5, 17, 29, 36, 52, 71, 132, 146, 177, 211, 229, 330, 648, 744, 956, 1112, 1368, 1413, 1459, 1506, 1700, 1906, 2124, 2295, 2657, 2720, 2848, 2913, 2979, 3181, 3319, 3532, 3678, 3902, 3978, 4055, 4211, 4290, 4780, 5035

Offset

1,1

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Mathematica

Select[Range@ 5040, IntegerQ@ Sqrt@ Floor[# E + Pi] &] (* Michael De Vlieger, Jul 14 2017 *)

Prog

(PARI) is(n)=issquare(floor(exp(1)*n+Pi)) \\ Charles R Greathouse IV, Jul 14 2017
(Python)
from gmpy2 import is_square
from mpmath import *
mp.dps=100
def ok(n): return is_square(int(nint(floor(exp(1)*n + pi))))
print([n for n in range(1, 6001) if ok(n)]) # Indranil Ghosh, Jul 15 2017

Crossrefs

Sequence in context: A264618 A271471 A217512 * A068829 A090403 A096705

Adjacent sequences: A289833 A289834 A289835 * A289837 A289838 A289839

Keyword

nonn

Author

Joseph Wheat, Jul 13 2017

Extensions

More terms from Charles R Greathouse IV, Jul 14 2017

Status

approved