

A062276


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


1



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
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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: A231153 A099199 A172474 * A053264 A079440 A192262
Adjacent sequences: A062273 A062274 A062275 * A062277 A062278 A062279


KEYWORD

nonn


AUTHOR

Henry Bottomley, Jul 02 2001


STATUS

approved



