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A137734 a(0)=1. a(n) = ceiling(n/b(n)), where b(n) is the largest value among (a(0),a(1),...,a(n-1)). 1
1, 1, 2, 2, 2, 3, 2, 3, 3, 3, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

For all m>=2, a(k) = m if m^2-m+1 <= k <= m^2, a(m^2 +1) = m+1, a(k) = m if m^2 +2 <= k <= m^2 +m.

EXAMPLE

The largest value among terms a(0) through a(12) is 4. So a(13) = ceiling(13/4) = 4.

CROSSREFS

Cf. A137735.

Sequence in context: A133801 A181630 A112310 * A078705 A050331 A194344

Adjacent sequences:  A137731 A137732 A137733 * A137735 A137736 A137737

KEYWORD

easy,nonn

AUTHOR

Leroy Quet Feb 09 2008

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Last modified February 14 22:09 EST 2012. Contains 205669 sequences.