

A163169


a(n) = minimal number of consecutive integers required which when summed make n.


11



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
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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

Ray Chandler, Table of n, a(n) for n = 0..10000


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

Cf. A138591, A057716.
Sequence in context: A063918 A271419 A278922 * A097974 A139036 A292129
Adjacent sequences: A163166 A163167 A163168 * A163170 A163171 A163172


KEYWORD

easy,nonn


AUTHOR

Carl R. White, Jul 22 2009


STATUS

approved



