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Search: id:A132381
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A132381 Number of partitions of n with excactly one prime number. +0
1
0, 1, 2, 3, 4, 7, 9, 12, 15, 22, 28, 38, 46, 62, 77, 98, 117, 152, 183, 230, 275, 344, 408, 504, 592, 726, 856, 1038, 1212, 1469, 1712, 2048, 2380, 2839, 3288, 3901, 4500, 5313, 6127, 7193, 8254, 9671, 11081, 12909, 14764, 17153, 19566, 22658, 25786, 29762 (list; graph; listen)
OFFSET

1,3

EXAMPLE

a(10) = #{8+2, 7+1+1+1, 6+3+1, 6+2+2, 6+2+1+1, 5+5, 5+4+1,

5+1+1+1+1+1, 4+4+2, 4+3+3, 4+3+1+1+1, 4+2+2+2, 4+2+2+1+1,

4+2+1+1+1+1, 3+3+3+1, 3+3+1+1+1+1, 3+1+1+1+1+1+1+1,

2+2+2+2+2, 2+2+2+2+1+1, 2+2+2+1+1+1+1, 2+2+1+1+1+1+1+1,

2+1+1+1+1+1+1+1+1} = 22.

CROSSREFS

Cf. A002095.

Sequence in context: A023546 A084913 A117450 this_sequence A073152 A051061 A005576

Adjacent sequences: A132378 A132379 A132380 this_sequence A132382 A132383 A132384

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 10 2007

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Last modified December 3 01:16 EST 2008. Contains 151161 sequences.


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