A058577 a(n) = floor(e^sqrt(n)).

2, 4, 5, 7, 9, 11, 14, 16, 20, 23, 27, 31, 36, 42, 48, 54, 61, 69, 78, 87, 97, 108, 121, 134, 148, 163, 180, 198, 218, 239, 261, 286, 312, 340, 370, 403, 438, 475, 515, 558, 603, 652, 704, 759, 819, 882, 949, 1020, 1096, 1177, 1263, 1354, 1451, 1553, 1662, 1778

Offset

1,1

Links

Harry J. Smith, Table of n, a(n) for n = 1..2000

Formula

a(n) = floor(e^(x^0.5)).

Example

a(7) = 14 because 7^0.5 = 2.645751... and e^2.645751 = 14.0940301...

Mathematica

Table[Floor[E^Sqrt[n]], {n, 60}] (* Harvey P. Dale, Feb 23 2020 *)

Prog

(PARI) { default(realprecision, 100); for (n=1, 2000, write("b058577.txt", n, " ", floor(exp(sqrt(n)))); ); } \\ Harry J. Smith, Jun 22 2009

Crossrefs

Sequence in context: A156625 A259280 A186388 * A356075 A071917 A338758

Adjacent sequences: A058574 A058575 A058576 * A058578 A058579 A058580

Keyword

nonn

Author

Avi Peretz (njk(AT)netvision.net.il), Dec 25 2000

Extensions

More terms from Harry J. Smith, Jun 22 2009

Status

approved