A062276 a(n) = floor(n^(n+1) / (n+1)^n).

0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, 27, 27, 27, 28, 28

Offset

0,6

Comments

a(n) is close to n/e (cf. A032634).

Links

Harry J. Smith, Table of n, a(n) for n = 0..1000

Example

a(2) = floor(2^3/3^2) = floor(8/9) = 0.

Maple

seq(floor(n^(n+1)/(n+1)^n), n=0..90); # Muniru A Asiru, Jul 01 2018

Mathematica

Array[Floor[#^(# + 1)/(# + 1)^#] &, 78, 0] (* Michael De Vlieger, Jul 01 2018 *)

Prog

(PARI) { default(realprecision, 50); for (n=0, 1000, write("b062276.txt", n, " ", floor(n^(n + 1) / (n + 1)^n)) ) } \\ Harry J. Smith, Aug 03 2009
(GAP) List([0..90], n->Int(n^(n+1)/(n+1)^n)); # Muniru A Asiru, Jul 01 2018

Crossrefs

Cf. A032634. Cf. A000169, A007778, A007925.

Sequence in context: A330557 A099199 A172474 * A350327 A053264 A343347

Adjacent sequences: A062273 A062274 A062275 * A062277 A062278 A062279

Keyword

nonn

Author

Henry Bottomley, Jul 02 2001

Status

approved