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A144119
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Total number of nonprime parts in all partitions of n.
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2
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1, 2, 4, 8, 13, 22, 34, 54, 80, 119, 170, 246, 342, 478, 653, 894, 1198, 1610, 2127, 2813, 3672, 4789, 6181, 7975, 10192, 13010, 16488, 20861, 26224, 32918, 41086, 51199, 63494, 78599, 96888, 119235, 146167, 178879, 218181, 265662, 322487, 390834
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n) = A006128(n)-A037032(n).
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EXAMPLE
| Contribution from Omar E. Pol, Nov 20 2011 (Start):
For n = 6 we have:
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. Number of
Partitions nonprime parts
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6 .......................... 1
3 + 3 ...................... 0
4 + 2 ...................... 1
2 + 2 + 2 .................. 0
5 + 1 ...................... 1
3 + 2 + 1 .................. 1
4 + 1 + 1 .................. 3
2 + 2 + 1 + 1 .............. 2
3 + 1 + 1 + 1 .............. 3
2 + 1 + 1 + 1 + 1 .......... 4
1 + 1 + 1 + 1 + 1 + 1 ...... 6
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Total ..................... 22
So a(6) = 22. (End)
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CROSSREFS
| Cf. A006128, A018252, A037032, A144116, A144121.
Sequence in context: A073336 A134035 A078157 * A023600 A074467 A018066
Adjacent sequences: A144116 A144117 A144118 * A144120 A144121 A144122
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KEYWORD
| easy,nonn
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AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Sep 11 2008
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