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A117118 Number of partitions of n into consecutive parts containing no binary powers. 0
0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 3, 1, 2, 3, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 3, 3, 1, 3, 1, 2, 3, 2, 1, 2, 0, 2, 2, 2, 1, 4, 1, 2, 2, 2, 2, 4, 1, 2, 3, 2, 1, 3, 2, 2, 3, 2, 2, 3, 1, 2, 3, 2, 1, 2, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 1, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,11

COMMENTS

a(n) <= A001227(n).

LINKS

Table of n, a(n) for n=1..105.

EXAMPLE

a(60) = #{10+11+12+13+14, 19+20+21, 60} = 3,

4+5+6+7+8+9+10+11=60 doesn't count because 4=2^2 or 8=2^3.

CROSSREFS

Cf. A118164.

Sequence in context: A280737 A322305 A020951 * A117168 A287160 A029443

Adjacent sequences:  A117115 A117116 A117117 * A117119 A117120 A117121

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Apr 17 2006

STATUS

approved

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Last modified August 3 02:48 EDT 2021. Contains 346435 sequences. (Running on oeis4.)