General term of the math succession

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What is the general term of the following succession?

$1, 6, 16, 37, 63, 113, 163, 248, 339, 469, 591, 801, 971, 1221, 1481, 1822, 2112...$

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$$a(k)=\sum_{n=1}^k\sum_{d\mid n}d^2$$