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A147784
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Number of partitions of n into parts divisible by 3 or 4.
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4
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1, 0, 0, 1, 1, 0, 2, 1, 2, 3, 2, 2, 7, 3, 4, 9, 9, 6, 15, 11, 15, 21, 19, 19, 39, 27, 32, 51, 51, 45, 78, 67, 82, 107, 104, 108, 172, 143, 165, 226, 232, 226, 328, 306, 356, 441, 446, 470, 655, 601, 677, 857, 891, 908, 1197, 1169, 1325, 1582
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,7
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COMMENTS
| Also number of partitions of n with no part and no difference between two parts equal to 1,2 or 5.
Also number of partitions of n with no part appearing 1,2 or 5 times.
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REFERENCES
| A. E. Holroyd, Partition Identities and the Coin Exchange Problem, J. Combin. Theory Ser. A, 115 (2008) 1096-1101.
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LINKS
| A. E. Holroyd, Partition Identities and the Coin Exchange Problem
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FORMULA
| G.f.: product{k=1, infinity, (1-x^12k)/(1-x^3k)/(1-x^4k)}
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CROSSREFS
| Cf. A007690, A147783, A147785, A147786, A147787
Sequence in context: A143866 A155002 A103342 * A051329 A173964 A205710
Adjacent sequences: A147781 A147782 A147783 * A147785 A147786 A147787
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KEYWORD
| nonn
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AUTHOR
| Alexander E. Holroyd (holroyd at math.ubc.ca)
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