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A238491
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Number of partitions of n not containing 3*(number of parts) as a part.
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0
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1, 2, 2, 5, 7, 11, 14, 21, 29, 41, 54, 75, 98, 132, 171, 226, 290, 377, 479, 615, 776, 984, 1231, 1548, 1924, 2397, 2960, 3661, 4495, 5523, 6742, 8234, 10003, 12149, 14688, 17752, 21368, 25704, 30814, 36911, 44078, 52591, 62573, 74384, 88206, 104491, 123506
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OFFSET
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1,2
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COMMENTS
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Number of partitions of n-3 containing at least one part < 4, for n >=3.
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LINKS
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FORMULA
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EXAMPLE
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a(11) counts all the 56 partitions of 11 except 911 and 65.
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MATHEMATICA
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Table[Count[IntegerPartitions[n], p_ /; ! MemberQ[p, 3*Length[p]]], {n, 40}]
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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