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A163169
a(n) = minimal number of consecutive integers required which when summed make n.
12
0, 2, 0, 2, 0, 2, 3, 2, 0, 2, 4, 2, 3, 2, 4, 2, 0, 2, 3, 2, 5, 2, 4, 2, 3, 2, 4, 2, 7, 2, 3, 2, 0, 2, 4, 2, 3, 2, 4, 2, 5, 2, 3, 2, 8, 2, 4, 2, 3, 2, 4, 2, 8, 2, 3, 2, 7, 2, 4, 2, 3, 2, 4, 2, 0, 2, 3, 2, 8, 2, 4, 2, 3, 2, 4, 2, 8, 2, 3, 2, 5, 2, 4, 2, 3, 2, 4, 2, 11, 2, 3, 2, 8, 2, 4, 2, 3, 2, 4, 2, 5, 2, 3, 2
OFFSET
0,2
COMMENTS
Zeros occur where no number of consecutive integers can be summed to make n; This only happens where n is an even power of two, or zero itself.
Entries where this sequence is nonzero are in A138591.
LINKS
EXAMPLE
20 = 2 + 3 + 4 + 5 + 6; No shorter sequence of consecutive integers sums to 20 and so a(20) = the number of elements in {2,3,4,5,6} = 5.
15 = 4 + 5 + 6, but also 15 = 7 + 8, so a(15) = 2, since this is the minimum.
CROSSREFS
Sequence in context: A063918 A271419 A278922 * A097974 A333753 A139036
KEYWORD
easy,nonn
AUTHOR
Carl R. White, Jul 22 2009
STATUS
approved