A060644 a(n) = floor((n+1)^(n+1)/n^n).

1, 4, 6, 9, 12, 14, 17, 20, 23, 25, 28, 31, 33, 36, 39, 42, 44, 47, 50, 53, 55, 58, 61, 63, 66, 69, 72, 74, 77, 80, 82, 85, 88, 91, 93, 96, 99, 101, 104, 107, 110, 112, 115, 118, 120, 123, 126, 129, 131, 134, 137, 139, 142, 145, 148, 150, 153, 156, 159, 161, 164

Offset

0,2

Comments

a(n) = floor(1/R) where R is the radius of convergence of the series S(x,n) = Sum_{k>=0} binomial(n*k, k)*x^k. - Michel Lagneau, Mar 09 2011

Links

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

Formula

a(n) = A000312(n+1)/A000312(n) = floor(e*(n+1/2)) at least for terms shown.

Example

a(7) = floor(8^8/7^7) = floor(16777216/823543) = floor(20.37...) = 20.

Prog

(PARI) { for (n=0, 1000, write("b060644.txt", n, " ", floor((n + 1)^(n + 1)/n^n)); ) } \\ Harry J. Smith, Jul 09 2009

Crossrefs

Sequence in context: A330215 A189533 A047408 * A122550 A191407 A076083

Adjacent sequences: A060641 A060642 A060643 * A060645 A060646 A060647

Keyword

nonn

Author

Henry Bottomley, Apr 17 2001

Status

approved