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EXAMPLE
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a(1)=18: there are 18 partitions of 12*1+1=13 into 4 parts:
[1,1,1,10], [1,1,2,9], [1,1,3,8], [1,1,4,7], [1,1,5,6],
[1,2,2,8], [1,2,3,7], [1,2,4,6], [1,2,5,5], [1,3,3,6],
[1,3,4,5], [1,4,4,4], [2,2,2,7], [2,2,3,6], [2,2,4,5],
[2,3,3,5], [2,3,4,4], [3,3,3,4].
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