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A144508
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a(n) = total number of partitions of [1, 2, ..., k] into exactly n blocks, each of size 1, 2, 3 or 4, for 0 <= k <= 4n.
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5
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1, 4, 121, 18252, 7958726, 7528988476, 13130817809439, 38001495237579931, 169490425291053577442, 1102725620990181693266071, 10030550674270068548738783696, 123317200510025161580777179001154, 1993320784474917266370637900936051186, 41401645296339316791633672053851083955147
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