A096143 a(n) = ceiling(Sum_{i=1..n} 1/i).

1, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6

Offset

1,2

Links

Table of n, a(n) for n=1..105.

Formula

a(n) = ceiling(A001008(n)/A002805(n)). - Michel Marcus, Jul 11 2013

Example

a(4)=3 because the ceiling of 1 + 1/2 + 1/3 + 1/4 is 3.

Mathematica

Ceiling[HarmonicNumber[Range[110]]] (* Harvey P. Dale, Aug 27 2014 *)

Prog

(PARI) a(n) = ceil(sum(i=1, n, 1/i)) \\ Michel Marcus, Jul 11 2013

Crossrefs

Cf. A002387, A055980.

Sequence in context: A257244 A130147 A345377 * A025792 A119447 A157720

Adjacent sequences: A096140 A096141 A096142 * A096144 A096145 A096146

Keyword

nonn,easy

Author

W. Neville Holmes, Jul 24 2004

Status

approved