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A096143
a(n) = ceiling(Sum_{i=1..n} 1/i).
1
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
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
Sequence in context: A257244 A130147 A345377 * A025792 A119447 A157720
KEYWORD
nonn,easy
AUTHOR
W. Neville Holmes, Jul 24 2004
STATUS
approved