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A184221
a(n) = A184220(n)/A133150(n) unless A133150(n) = 0 in which case a(n) = 0.
3
0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 7, 7, 1, 2, 1, 2, 1, 7, 7, 2, 1, 2, 1, 2, 7, 14, 1, 2, 1, 2, 1, 14, 7, 17, 1, 2, 1, 2, 17, 14, 1, 2, 1, 2, 23, 14, 7, 2, 1, 2, 17, 2, 7, 14, 1, 17, 1, 23, 1, 14, 7, 2, 1, 31, 1, 2, 7, 34, 1, 2, 1
OFFSET
1,7
COMMENTS
a(n) is the "level" of squares (A000290).
The decomposition of squares into weight * level + gap is A000217(n) = A133150(n) * a(n) + A005408(n) if a(n) > 0.
A184220(n) = A000290(n) - A005408(n) if A000217(n) - A005408(n) > A005408(n), 0 otherwise.
LINKS
EXAMPLE
For n = 3 we have A133150(3) = 0, hence a(3) = 0.
For n = 5 we have A184220(5)/A133150(5) = 14 / 14 = 1, hence a(5) = 1.
For n = 25 we have A184220(25)/A133150(25) = 574 / 82 = 5, hence a(25) = 7.
KEYWORD
nonn
AUTHOR
Rémi Eismann, Jan 10 2011
STATUS
approved