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Search: id:A114374
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A114374 Number of partitions of n into parts that are not square-free. +0
3
0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 3, 1, 0, 0, 5, 2, 2, 0, 7, 3, 2, 0, 11, 6, 4, 3, 15, 8, 6, 3, 22, 13, 11, 6, 34, 18, 15, 9, 46, 27, 24, 17, 64, 43, 33, 23, 89, 60, 51, 37, 124, 84, 78, 51, 166, 119, 109, 78, 226, 168, 152, 118, 300, 228, 215, 166, 404, 313, 300, 230, 546, 421, 409 (list; graph; listen)
OFFSET

1,8

COMMENT

a(A078135(n)) = 0; a(A078137(n)) > 0.

FORMULA

a(n) = A000041(n) - A073576(n) - A117395(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 11 2006

EXAMPLE

a(12) = #{2*2*3, 2*2*2 + 2*2, 2*2 + 2*2 + 2*2} = 3;

a(13) = #{3*3 + 2*2} = 1.

CROSSREFS

Cf. A013929, A073576.

Sequence in context: A136263 A105593 A029371 this_sequence A111505 A109264 A130507

Adjacent sequences: A114371 A114372 A114373 this_sequence A114375 A114376 A114377

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 09 2006

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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