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

Author

W. Neville Holmes, Jul 24 2004

Keywords

• nonn
• easy

Examples

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

Crossrefs

Cf. A002387, A055980.

Programs

Mathematica

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

PARI

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

Formula

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